412007538096 has 1080 divisors, whose sum is σ = 1559296104912. Its totient is φ = 104901350400.

The previous prime is 412007538071. The next prime is 412007538143. The reversal of 412007538096 is 690835700214.

412007538096 is a `hidden beast` number, since 4 + 1 + 20 + 0 + 7 + 538 + 0 + 96 = 666.

It is a super-2 number, since 2×412007538096² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1406168926 + ... + 1406169218.

It is a 1-persistent number, because it is pandigital, but 2⋅412007538096 = 824015076192 is not.

Almost surely, 2^412007538096 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 412007538096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779648052456).

412007538096 is an abundant number, since it is smaller than the sum of its proper divisors (1147288566816).

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

412007538096 is a wasteful number, since it uses less digits than its factorization.

412007538096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 412007538096 in words is "four hundred twelve billion, seven million, five hundred thirty-eight thousand, ninety-six".