13994276400 has 360 divisors, whose sum is σ = 54577819296. Its totient is φ = 3294720000.

The previous prime is 13994276357. The next prime is 13994276437. The reversal of 13994276400 is 467249931.

It is a happy number.

13994276400 is a `hidden beast` number, since 139 + 9 + 42 + 76 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1069900 + ... + 1082900.

Almost surely, 2^13994276400 is an apocalyptic number.

13994276400 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 13994276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27288909648).

13994276400 is an abundant number, since it is smaller than the sum of its proper divisors (40583542896).

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

13994276400 is a wasteful number, since it uses less digits than its factorization.

13994276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13994276400 in words is "thirteen billion, nine hundred ninety-four million, two hundred seventy-six thousand, four hundred".