432611936640 has 256 divisors, whose sum is σ = 1650027153600. Its totient is φ = 106489036800.

The previous prime is 432611936633. The next prime is 432611936641. The reversal of 432611936640 is 46639116234.

432611936640 is a `hidden beast` number, since 432 + 6 + 119 + 3 + 66 + 40 = 666.

It is a super-2 number, since 2×432611936640² (a number of 24 digits) contains 22 as substring.

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 (432611936641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738261 + ... + 1187540.

Almost surely, 2^432611936640 is an apocalyptic number.

432611936640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432611936640 is an abundant number, since it is smaller than the sum of its proper divisors (1217415216960).

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

432611936640 is a wasteful number, since it uses less digits than its factorization.

432611936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925842 (or 1925824 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 432611936640 in words is "four hundred thirty-two billion, six hundred eleven million, nine hundred thirty-six thousand, six hundred forty".