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40405215400 = 23521121669637
BaseRepresentation
bin100101101000010101…
…101010100010101000
310212021220112121112021
4211220111222202220
51130222213343100
630321211554224
72630164443544
oct455025524250
9125256477467
1040405215400
1116154766400
1279b775b974
133a6bccb9a4
141d5432ca24
1510b737aa1a
hex96856a8a8

40405215400 has 72 divisors (see below), whose sum is σ = 103258762110. Its totient is φ = 14692796800.

The previous prime is 40405215397. The next prime is 40405215401. The reversal of 40405215400 is 451250404.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16546705956 + 23858509444 = 128634^2 + 154462^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40405215401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 810619 + ... + 859018.

Almost surely, 240405215400 is an apocalyptic number.

40405215400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40405215400 is an abundant number, since it is smaller than the sum of its proper divisors (62853546710).

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

40405215400 is a wasteful number, since it uses less digits than its factorization.

40405215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669675 (or 1669655 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 40405215400 its reverse (451250404), we get a palindrome (40856465804).

The spelling of 40405215400 in words is "forty billion, four hundred five million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 1669637 3339274 6678548 8348185 13357096 16696370 18366007 33392740 36732014 41740925 66785480 73464028 83481850 91830035 146928056 166963700 183660070 202026077 333927400 367320140 404052154 459150175 734640280 808104308 918300350 1010130385 1616208616 1836600700 2020260770 3673201400 4040521540 5050651925 8081043080 10101303850 20202607700 40405215400