432400444119980 has 384 divisors, whose sum is σ = 1111313448419328. Its totient is φ = 138264520762368.

The previous prime is 432400444119979. The next prime is 432400444119991. The reversal of 432400444119980 is 89911444004234.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1774170809 + ... + 1774414511.

It is an arithmetic number, because the mean of its divisors is an integer number (2894045438592).

Almost surely, 2^{432400444119980} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432400444119980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555656724209664).

432400444119980 is an abundant number, since it is smaller than the sum of its proper divisors (678913004299348).

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

432400444119980 is a wasteful number, since it uses less digits than its factorization.

432400444119980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243965 (or 243963 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 432400444119980 in words is "four hundred thirty-two trillion, four hundred billion, four hundred forty-four million, one hundred nineteen thousand, nine hundred eighty".