13937570999440 has 320 divisors, whose sum is σ = 36149886259200. Its totient is φ = 4955091148800.

The previous prime is 13937570999431. The next prime is 13937570999537. The reversal of 13937570999440 is 4499907573931.

It is a self number, because there is not a number n which added to its sum of digits gives 13937570999440.

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, 4184198575 + ... + 4184201905.

It is an arithmetic number, because the mean of its divisors is an integer number (112968394560).

Almost surely, 2^{13937570999440} is an apocalyptic number.

13937570999440 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 13937570999440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18074943129600).

13937570999440 is an abundant number, since it is smaller than the sum of its proper divisors (22212315259760).

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

13937570999440 is a wasteful number, since it uses less digits than its factorization.

13937570999440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 70.

The spelling of 13937570999440 in words is "thirteen trillion, nine hundred thirty-seven billion, five hundred seventy million, nine hundred ninety-nine thousand, four hundred forty".