412321038336 has 480 divisors, whose sum is σ = 1277378242560. Its totient is φ = 131294822400.

The previous prime is 412321038329. The next prime is 412321038347. The reversal of 412321038336 is 633830123214.

412321038336 is a `hidden beast` number, since 4 + 1 + 232 + 10 + 383 + 36 = 666.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 412321038336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467334516 + ... + 1467334796.

It is an arithmetic number, because the mean of its divisors is an integer number (2661204672).

Almost surely, 2^412321038336 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 412321038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638689121280).

412321038336 is an abundant number, since it is smaller than the sum of its proper divisors (865057204224).

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

412321038336 is a wasteful number, since it uses less digits than its factorization.

412321038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 412321038336 in words is "four hundred twelve billion, three hundred twenty-one million, thirty-eight thousand, three hundred thirty-six".