412137331200 has 1440 divisors, whose sum is σ = 1826279110656. Its totient is φ = 89997557760.

The previous prime is 412137331181. The next prime is 412137331201. The reversal of 412137331200 is 2133731214.

It is a happy number.

412137331200 is a `hidden beast` number, since 4 + 121 + 3 + 7 + 331 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412137331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 500773989 + ... + 500774811.

Almost surely, 2^412137331200 is an apocalyptic number.

412137331200 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 412137331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913139555328).

412137331200 is an abundant number, since it is smaller than the sum of its proper divisors (1414141779456).

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

412137331200 is an equidigital number, since it uses as much as digits as its factorization.

412137331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 412137331200 in words is "four hundred twelve billion, one hundred thirty-seven million, three hundred thirty-one thousand, two hundred".