13872506040 has 64 divisors (see below), whose sum is σ = 46241690400. Its totient is φ = 3699334656.

The previous prime is 13872506029. The next prime is 13872506047. The reversal of 13872506040 is 4060527831.

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 = 13872505986 and 13872506004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13872506047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6421377 + ... + 6423536.

Almost surely, 2^13872506040 is an apocalyptic number.

13872506040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13872506040 is an abundant number, since it is smaller than the sum of its proper divisors (32369184360).

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

13872506040 is a wasteful number, since it uses less digits than its factorization.

13872506040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12844933 (or 12844923 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13872506040 in words is "thirteen billion, eight hundred seventy-two million, five hundred six thousand, forty".