13420214400 has 96 divisors (see below), whose sum is σ = 44202862800. Its totient is φ = 3578721280.

The previous prime is 13420214383. The next prime is 13420214567. The reversal of 13420214400 is 441202431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-5 number, since 5×13420214400⁵ (a number of 52 digits) contains 55555 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, 689370 + ... + 708569.

Almost surely, 2^13420214400 is an apocalyptic number.

13420214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420214400 is an abundant number, since it is smaller than the sum of its proper divisors (30782648400).

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

13420214400 is a wasteful number, since it uses less digits than its factorization.

13420214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397966 (or 1397949 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13420214400 its reverse (441202431), we get a palindrome (13861416831).

The spelling of 13420214400 in words is "thirteen billion, four hundred twenty million, two hundred fourteen thousand, four hundred".