412255231511400 has 480 divisors, whose sum is σ = 1435396670400000. Its totient is φ = 109660602055680.

The previous prime is 412255231511281. The next prime is 412255231511411. The reversal of 412255231511400 is 4115132552214.

412255231511400 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 5 + 5 + 231 + 5 + 11 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18099616812 + ... + 18099639588.

It is an arithmetic number, because the mean of its divisors is an integer number (2990409730000).

Almost surely, 2^{412255231511400} is an apocalyptic number.

412255231511400 is a gapful number since it is divisible by the number (40) 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 412255231511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717698335200000).

412255231511400 is an abundant number, since it is smaller than the sum of its proper divisors (1023141438888600).

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

412255231511400 is a wasteful number, since it uses less digits than its factorization.

412255231511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25543 (or 25525 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 412255231511400 in words is "four hundred twelve trillion, two hundred fifty-five billion, two hundred thirty-one million, five hundred eleven thousand, four hundred".