412625260459104 has 768 divisors, whose sum is σ = 1388275977682944. Its totient is φ = 104202398361600.

The previous prime is 412625260459073. The next prime is 412625260459129. The reversal of 412625260459104 is 401954062526214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38040490609 + ... + 38040501455.

It is an arithmetic number, because the mean of its divisors is an integer number (1807651012608).

Almost surely, 2^{412625260459104} is an apocalyptic number.

412625260459104 is a gapful number since it is divisible by the number (44) 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 412625260459104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694137988841472).

412625260459104 is an abundant number, since it is smaller than the sum of its proper divisors (975650717223840).

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

412625260459104 is a wasteful number, since it uses less digits than its factorization.

412625260459104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11639 (or 11631 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 412625260459104 in words is "four hundred twelve trillion, six hundred twenty-five billion, two hundred sixty million, four hundred fifty-nine thousand, one hundred four".