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40661017488 = 243271319197829
BaseRepresentation
bin100101110111100101…
…011110001110010000
310212221201212201000200
4211313211132032100
51131233210024423
630402430415200
72636421642330
oct456745361620
9125851781020
1040661017488
11162760a2293
127a69361500
133aaccc3280
141d7a2b90c0
1510cea58d43
hex97795e390

40661017488 has 480 divisors, whose sum is σ = 148353004800. Its totient is φ = 10095611904.

The previous prime is 40661017483. The next prime is 40661017489. The reversal of 40661017488 is 88471016604.

40661017488 is a `hidden beast` number, since 4 + 0 + 66 + 101 + 7 + 488 = 666.

It is not an unprimeable number, because it can be changed into a prime (40661017483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49047858 + ... + 49048686.

It is an arithmetic number, because the mean of its divisors is an integer number (309068760).

Almost surely, 240661017488 is an apocalyptic number.

40661017488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40661017488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74176502400).

40661017488 is an abundant number, since it is smaller than the sum of its proper divisors (107691987312).

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

40661017488 is a wasteful number, since it uses less digits than its factorization.

40661017488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 40661017488 in words is "forty billion, six hundred sixty-one million, seventeen thousand, four hundred eighty-eight".