434057955232 has 48 divisors (see below), whose sum is σ = 987075657792. Its totient is φ = 185693240320.

The previous prime is 434057955229. The next prime is 434057955239. The reversal of 434057955232 is 232559750434.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (434057955239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36262228 + ... + 36274195.

It is an arithmetic number, because the mean of its divisors is an integer number (20564076204).

Almost surely, 2^434057955232 is an apocalyptic number.

It is an amenable number.

434057955232 is an abundant number, since it is smaller than the sum of its proper divisors (553017702560).

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

434057955232 is a wasteful number, since it uses less digits than its factorization.

434057955232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72536461 (or 72536453 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

The spelling of 434057955232 in words is "four hundred thirty-four billion, fifty-seven million, nine hundred fifty-five thousand, two hundred thirty-two".