13979918400 has 336 divisors, whose sum is σ = 52818036096. Its totient is φ = 3171041280.

The previous prime is 13979918387. The next prime is 13979918411. The reversal of 13979918400 is 481997931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4601682 + ... + 4604718.

It is an arithmetic number, because the mean of its divisors is an integer number (157196536).

Almost surely, 2^13979918400 is an apocalyptic number.

13979918400 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 13979918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409018048).

13979918400 is an abundant number, since it is smaller than the sum of its proper divisors (38838117696).

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

13979918400 is a wasteful number, since it uses less digits than its factorization.

13979918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 13979918400 in words is "thirteen billion, nine hundred seventy-nine million, nine hundred eighteen thousand, four hundred".