13844701400 has 192 divisors, whose sum is σ = 35102976480. Its totient is φ = 5057740800.

The previous prime is 13844701399. The next prime is 13844701421. The reversal of 13844701400 is 410744831.

It is a congruent number.

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, 41082032 + ... + 41082368.

Almost surely, 2^13844701400 is an apocalyptic number.

13844701400 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 13844701400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551488240).

13844701400 is an abundant number, since it is smaller than the sum of its proper divisors (21258275080).

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

13844701400 is a wasteful number, since it uses less digits than its factorization.

13844701400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 13844701400 in words is "thirteen billion, eight hundred forty-four million, seven hundred one thousand, four hundred".