432981120000 has 1760 divisors, whose sum is σ = 1804876254720. Its totient is φ = 90685440000.

The previous prime is 432981119983. The next prime is 432981120007. The reversal of 432981120000 is 21189234.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 432981120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432981120007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5216639959 + ... + 5216640041.

It is an arithmetic number, because the mean of its divisors is an integer number (1025497872).

Almost surely, 2^432981120000 is an apocalyptic number.

432981120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432981120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902438127360).

432981120000 is an abundant number, since it is smaller than the sum of its proper divisors (1371895134720).

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

432981120000 is a wasteful number, since it uses less digits than its factorization.

432981120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 432981120000 in words is "four hundred thirty-two billion, nine hundred eighty-one million, one hundred twenty thousand".