10200414400 has 84 divisors (see below), whose sum is σ = 27381205080. Its totient is φ = 3709235200.

The previous prime is 10200414391. The next prime is 10200414431. The reversal of 10200414400 is 441400201.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 272185 + ... + 307384.

Almost surely, 2^10200414400 is an apocalyptic number.

10200414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200414400 is an abundant number, since it is smaller than the sum of its proper divisors (17180790680).

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

10200414400 is a wasteful number, since it uses less digits than its factorization.

10200414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579602 (or 579587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10200414400 its reverse (441400201), we get a palindrome (10641814601).

The spelling of 10200414400 in words is "ten billion, two hundred million, four hundred fourteen thousand, four hundred".