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40777020990 = 232510910933803
BaseRepresentation
bin100101111110011111…
…111111011000111110
310220020211011021220200
4211332133333120332
51132002404132430
630422133024330
72642330650056
oct457637773076
9126224137820
1040777020990
1116325624452
127aa01850a6
133acb04b0b4
141d8b874566
1510d9d20460
hex97e7ff63e

40777020990 has 96 divisors (see below), whose sum is σ = 107118966240. Its totient is φ = 10761424128.

The previous prime is 40777020989. The next prime is 40777020997. The reversal of 40777020990 is 9902077704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40777020997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10720429 + ... + 10724231.

It is an arithmetic number, because the mean of its divisors is an integer number (1115822565).

Almost surely, 240777020990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40777020990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53559483120).

40777020990 is an abundant number, since it is smaller than the sum of its proper divisors (66341945250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40777020990 is a wasteful number, since it uses less digits than its factorization.

40777020990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 40777020990 in words is "forty billion, seven hundred seventy-seven million, twenty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1093 1635 1962 2186 3270 3279 3803 4905 5465 6558 7606 9810 9837 10930 11409 16395 19015 19674 22818 32790 34227 38030 49185 57045 68454 98370 114090 119137 171135 238274 342270 357411 414527 595685 714822 829054 1072233 1191370 1243581 1787055 2072635 2144466 2487162 3574110 3730743 4145270 4156679 5361165 6217905 7461486 8313358 10722330 12435810 12470037 18653715 20783395 24940074 37307430 37410111 41566790 62350185 74820222 124700370 187050555 374101110 453078011 906156022 1359234033 2265390055 2718468066 4077702099 4530780110 6796170165 8155404198 13592340330 20388510495 40777020990