13624668040 has 32 divisors (see below), whose sum is σ = 30705243480. Its totient is φ = 5441024512.

The previous prime is 13624668007. The next prime is 13624668047. The reversal of 13624668040 is 4086642631.

It can be written as a sum of positive squares in 4 ways, for example, as 11742323044 + 1882344996 = 108362^2 + 43386^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13624667984 and 13624668002.

It is not an unprimeable number, because it can be changed into a prime (13624668047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251347 + ... + 300706.

Almost surely, 2^13624668040 is an apocalyptic number.

13624668040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13624668040 is an abundant number, since it is smaller than the sum of its proper divisors (17080575440).

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

13624668040 is a wasteful number, since it uses less digits than its factorization.

13624668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552681 (or 552677 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 13624668040 in words is "thirteen billion, six hundred twenty-four million, six hundred sixty-eight thousand, forty".