432421411104 has 144 divisors (see below), whose sum is σ = 1250210995488. Its totient is φ = 141743517696.

The previous prime is 432421411061. The next prime is 432421411189. The reversal of 432421411104 is 401114124234.

432421411104 is a `hidden beast` number, since 4 + 3 + 242 + 1 + 411 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11307664 + ... + 11345840.

It is an arithmetic number, because the mean of its divisors is an integer number (8682020802).

Almost surely, 2^432421411104 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 432421411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625105497744).

432421411104 is an abundant number, since it is smaller than the sum of its proper divisors (817789584384).

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

432421411104 is a wasteful number, since it uses less digits than its factorization.

432421411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38847 (or 38836 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 432421411104 its reverse (401114124234), we get a palindrome (833535535338).

The spelling of 432421411104 in words is "four hundred thirty-two billion, four hundred twenty-one million, four hundred eleven thousand, one hundred four".