13964390400 has 312 divisors, whose sum is σ = 46656460224. Its totient is φ = 3684761600.

The previous prime is 13964390381. The next prime is 13964390411. The reversal of 13964390400 is 409346931.

It is a super-2 number, since 2×13964390400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40243027 + ... + 40243373.

Almost surely, 2^13964390400 is an apocalyptic number.

13964390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13964390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328230112).

13964390400 is an abundant number, since it is smaller than the sum of its proper divisors (32692069824).

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

13964390400 is a wasteful number, since it uses less digits than its factorization.

13964390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 13964390400 in words is "thirteen billion, nine hundred sixty-four million, three hundred ninety thousand, four hundred".