412351450100400 has 60 divisors (see below), whose sum is σ = 1320899145158792. Its totient is φ = 109960386693120.

The previous prime is 412351450100363. The next prime is 412351450100449. The reversal of 412351450100400 is 4001054153214.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×412351450100400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171813103009 + ... + 171813105408.

Almost surely, 2^{412351450100400} is an apocalyptic number.

412351450100400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412351450100400 is an abundant number, since it is smaller than the sum of its proper divisors (908547695058392).

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

412351450100400 is a wasteful number, since it uses less digits than its factorization.

412351450100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343626208438 (or 343626208427 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 412351450100400 in words is "four hundred twelve trillion, three hundred fifty-one billion, four hundred fifty million, one hundred thousand, four hundred".