10000412400 has 120 divisors (see below), whose sum is σ = 34946941824. Its totient is φ = 2424339200.

The previous prime is 10000412399. The next prime is 10000412413. The reversal of 10000412400 is 421400001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365604 + ... + 392003.

Almost surely, 2^10000412400 is an apocalyptic number.

10000412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000412400 is an abundant number, since it is smaller than the sum of its proper divisors (24946529424).

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

10000412400 is a wasteful number, since it uses less digits than its factorization.

10000412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757639 (or 757628 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10000412400 its reverse (421400001), we get a palindrome (10421812401).

The spelling of 10000412400 in words is "ten billion, four hundred twelve thousand, four hundred".