412707404507400 has 768 divisors, whose sum is σ = 1479881915424000. Its totient is φ = 105714258693120.

The previous prime is 412707404507369. The next prime is 412707404507423. The reversal of 412707404507400 is 4705404707214.

412707404507400 is a `hidden beast` number, since 4 + 1 + 2 + 70 + 74 + 0 + 4 + 507 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25945010247 + ... + 25945026153.

It is an arithmetic number, because the mean of its divisors is an integer number (1926929577375).

Almost surely, 2^{412707404507400} is an apocalyptic number.

412707404507400 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 412707404507400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739940957712000).

412707404507400 is an abundant number, since it is smaller than the sum of its proper divisors (1067174510916600).

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

412707404507400 is a wasteful number, since it uses less digits than its factorization.

412707404507400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16216 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 45.

The spelling of 412707404507400 in words is "four hundred twelve trillion, seven hundred seven billion, four hundred four million, five hundred seven thousand, four hundred".