13938038400 has 864 divisors, whose sum is σ = 55411140960. Its totient is φ = 3075072000.

The previous prime is 13938038399. The next prime is 13938038419. The reversal of 13938038400 is 483083931.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 196310365 + ... + 196310435.

It is an arithmetic number, because the mean of its divisors is an integer number (64133265).

Almost surely, 2^13938038400 is an apocalyptic number.

13938038400 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 13938038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27705570480).

13938038400 is an abundant number, since it is smaller than the sum of its proper divisors (41473102560).

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

13938038400 is a wasteful number, since it uses less digits than its factorization.

13938038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 13938038400 in words is "thirteen billion, nine hundred thirty-eight million, thirty-eight thousand, four hundred".