412424000400 has 60 divisors (see below), whose sum is σ = 1321131551792. Its totient is φ = 109979733120.

The previous prime is 412424000381. The next prime is 412424000413. The reversal of 412424000400 is 4000424214.

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

It is a super-2 number, since 2×412424000400² (a number of 24 digits) contains 22 as substring.

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, 171842134 + ... + 171844533.

Almost surely, 2^412424000400 is an apocalyptic number.

412424000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412424000400 is an abundant number, since it is smaller than the sum of its proper divisors (908707551392).

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

412424000400 is a wasteful number, since it uses less digits than its factorization.

412424000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343686688 (or 343686677 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 412424000400 its reverse (4000424214), we get a palindrome (416424424614).

The spelling of 412424000400 in words is "four hundred twelve billion, four hundred twenty-four million, four hundred", and thus it is an aban number.