13008956940 has 192 divisors, whose sum is σ = 46326604800. Its totient is φ = 2968814592.

The previous prime is 13008956921. The next prime is 13008956941. The reversal of 13008956940 is 4965980031.

It is a happy number.

13008956940 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 89 + 569 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13008956941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2791092 + ... + 2795748.

It is an arithmetic number, because the mean of its divisors is an integer number (241284400).

Almost surely, 2^13008956940 is an apocalyptic number.

13008956940 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 13008956940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23163302400).

13008956940 is an abundant number, since it is smaller than the sum of its proper divisors (33317647860).

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

13008956940 is a wasteful number, since it uses less digits than its factorization.

13008956940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13008956940 in words is "thirteen billion, eight million, nine hundred fifty-six thousand, nine hundred forty".