13939375074000 has 320 divisors, whose sum is σ = 47050391082240. Its totient is φ = 3545744025600.

The previous prime is 13939375073993. The next prime is 13939375074089. The reversal of 13939375074000 is 47057393931.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13959402 + ... + 14924598.

It is an arithmetic number, because the mean of its divisors is an integer number (147032472132).

Almost surely, 2^{13939375074000} is an apocalyptic number.

13939375074000 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 13939375074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525195541120).

13939375074000 is an abundant number, since it is smaller than the sum of its proper divisors (33111016008240).

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

13939375074000 is a wasteful number, since it uses less digits than its factorization.

13939375074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965335 (or 965319 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 13939375074000 in words is "thirteen trillion, nine hundred thirty-nine billion, three hundred seventy-five million, seventy-four thousand".