432688400112 has 40 divisors (see below), whose sum is σ = 1117872449104. Its totient is φ = 144217327104.

The previous prime is 432688400077. The next prime is 432688400117. The reversal of 432688400112 is 211004886234.

It is a super-3 number, since 3×432688400112³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432688400117) 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, 206178 + ... + 952830.

Almost surely, 2^432688400112 is an apocalyptic number.

It is an amenable number.

432688400112 is an abundant number, since it is smaller than the sum of its proper divisors (685184048992).

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

432688400112 is a wasteful number, since it uses less digits than its factorization.

432688400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758737 (or 758731 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 432688400112 in words is "four hundred thirty-two billion, six hundred eighty-eight million, four hundred thousand, one hundred twelve".