412042430402432 has 128 divisors (see below), whose sum is σ = 828399071203200. Its totient is φ = 204140014848000.

The previous prime is 412042430402399. The next prime is 412042430402443. The reversal of 412042430402432 is 234204034240214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 412042430402392 and 412042430402401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7436084807 + ... + 7436140217.

It is an arithmetic number, because the mean of its divisors is an integer number (6471867743775).

Almost surely, 2^{412042430402432} 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 412042430402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414199535601600).

412042430402432 is an abundant number, since it is smaller than the sum of its proper divisors (416356640800768).

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

412042430402432 is a wasteful number, since it uses less digits than its factorization.

412042430402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56756 (or 56744 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 412042430402432 its reverse (234204034240214), we get a palindrome (646246464642646).

The spelling of 412042430402432 in words is "four hundred twelve trillion, forty-two billion, four hundred thirty million, four hundred two thousand, four hundred thirty-two".