412314197020992 has 504 divisors, whose sum is σ = 1435457718579456. Its totient is φ = 112610677487616.

The previous prime is 412314197020991. The next prime is 412314197021047. The reversal of 412314197020992 is 299020791413214.

412314197020992 is a `hidden beast` number, since 4 + 12 + 3 + 1 + 419 + 7 + 0 + 209 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412314197020991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1027406998 + ... + 1027808234.

Almost surely, 2^{412314197020992} is an apocalyptic number.

412314197020992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412314197020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717728859289728).

412314197020992 is an abundant number, since it is smaller than the sum of its proper divisors (1023143521558464).

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

412314197020992 is a wasteful number, since it uses less digits than its factorization.

412314197020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402875 (or 402855 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 412314197020992 in words is "four hundred twelve trillion, three hundred fourteen billion, one hundred ninety-seven million, twenty thousand, nine hundred ninety-two".