432382817046000 has 160 divisors (see below), whose sum is σ = 1399034706458688. Its totient is φ = 114885831091200.

The previous prime is 432382817045981. The next prime is 432382817046007. The reversal of 432382817046000 is 640718283234.

It is a super-2 number, since 2×432382817046000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432382817046007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128417067 + ... + 131741066.

Almost surely, 2^{432382817046000} is an apocalyptic number.

432382817046000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432382817046000 is an abundant number, since it is smaller than the sum of its proper divisors (966651889412688).

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

432382817046000 is a wasteful number, since it uses less digits than its factorization.

432382817046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260158436 (or 260158420 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 432382817046000 in words is "four hundred thirty-two trillion, three hundred eighty-two billion, eight hundred seventeen million, forty-six thousand".