412437555501972 has 576 divisors, whose sum is σ = 1330510177785600. Its totient is φ = 97736608972800.

The previous prime is 412437555501953. The next prime is 412437555501977. The reversal of 412437555501972 is 279105555734214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412437555501977) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6206795404 + ... + 6206861852.

It is an arithmetic number, because the mean of its divisors is an integer number (2309913503100).

Almost surely, 2^{412437555501972} is an apocalyptic number.

412437555501972 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 412437555501972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665255088892800).

412437555501972 is an abundant number, since it is smaller than the sum of its proper divisors (918072622283628).

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

412437555501972 is a wasteful number, since it uses less digits than its factorization.

412437555501972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67352 (or 67343 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 60.

The spelling of 412437555501972 in words is "four hundred twelve trillion, four hundred thirty-seven billion, five hundred fifty-five million, five hundred one thousand, nine hundred seventy-two".