13915694039040 has 360 divisors, whose sum is σ = 49890340109610. Its totient is φ = 3710851743744.

The previous prime is 13915694038997. The next prime is 13915694039153. The reversal of 13915694039040 is 4093049651931.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (2!)²⁵.

13915694039040 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 569 + 4 + 0 + 39 + 0 + 40 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12524124635136 + 1391569403904 = 3538944^2 + 1179648^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 16.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 30720 × 18432 × 24576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2783138807806 + ... + 2783138807810.

Almost surely, 2^{13915694039040} is an apocalyptic number.

13915694039040 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 13915694039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24945170054805).

13915694039040 is an abundant number, since it is smaller than the sum of its proper divisors (35974646070570).

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

13915694039040 is an frugal number, since it uses more digits than its factorization.

13915694039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 13915694039040 in words is "thirteen trillion, nine hundred fifteen billion, six hundred ninety-four million, thirty-nine thousand, forty".