412434054432 has 72 divisors (see below), whose sum is σ = 1204558274556. Its totient is φ = 133762392576.

The previous prime is 412434054413. The next prime is 412434054449. The reversal of 412434054432 is 234450434214.

412434054432 is a `hidden beast` number, since 4 + 1 + 2 + 43 + 40 + 544 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 291638881296 + 120795173136 = 540036^2 + 347556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19341543 + ... + 19362854.

Almost surely, 2^412434054432 is an apocalyptic number.

It is an amenable number.

412434054432 is an abundant number, since it is smaller than the sum of its proper divisors (792124220124).

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

412434054432 is a wasteful number, since it uses less digits than its factorization.

412434054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38704450 (or 38704439 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 412434054432 its reverse (234450434214), we get a palindrome (646884488646).

The spelling of 412434054432 in words is "four hundred twelve billion, four hundred thirty-four million, fifty-four thousand, four hundred thirty-two".