13639793531040 has 288 divisors, whose sum is σ = 47484792810000. Its totient is φ = 3564344770560.

The previous prime is 13639793531033. The next prime is 13639793531069. The reversal of 13639793531040 is 4013539793631.

It is a happy number.

13639793531040 is a `hidden beast` number, since 1 + 3 + 6 + 39 + 79 + 3 + 531 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53521897104 + 13586271633936 = 231348^2 + 3685956^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 23340336 + ... + 23917584.

Almost surely, 2^{13639793531040} is an apocalyptic number.

13639793531040 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 13639793531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23742396405000).

13639793531040 is an abundant number, since it is smaller than the sum of its proper divisors (33844999278960).

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

13639793531040 is a wasteful number, since it uses less digits than its factorization.

13639793531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577600 (or 577589 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 13639793531040 in words is "thirteen trillion, six hundred thirty-nine billion, seven hundred ninety-three million, five hundred thirty-one thousand, forty".