13639127040 has 936 divisors, whose sum is σ = 60904868544. Its totient is φ = 2742681600.

The previous prime is 13639126931. The next prime is 13639127053. The reversal of 13639127040 is 4072193631.

13639127040 is a `hidden beast` number, since 1 + 3 + 639 + 12 + 7 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13639126986 and 13639127004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 439971825 + ... + 439971855.

It is an arithmetic number, because the mean of its divisors is an integer number (65069304).

Almost surely, 2^13639127040 is an apocalyptic number.

13639127040 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 13639127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30452434272).

13639127040 is an abundant number, since it is smaller than the sum of its proper divisors (47265741504).

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

13639127040 is a wasteful number, since it uses less digits than its factorization.

13639127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13639127040 in words is "thirteen billion, six hundred thirty-nine million, one hundred twenty-seven thousand, forty".