13939128000 has 840 divisors, whose sum is σ = 60123080160. Its totient is φ = 3178828800.

The previous prime is 13939127987. The next prime is 13939128031. The reversal of 13939128000 is 82193931.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31751781 + ... + 31752219.

Almost surely, 2^13939128000 is an apocalyptic number.

13939128000 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 13939128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30061540080).

13939128000 is an abundant number, since it is smaller than the sum of its proper divisors (46183952160).

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

13939128000 is an equidigital number, since it uses as much as digits as its factorization.

13939128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 13939128000 in words is "thirteen billion, nine hundred thirty-nine million, one hundred twenty-eight thousand".