13040870400 has 660 divisors, whose sum is σ = 50983892080. Its totient is φ = 3284582400.

The previous prime is 13040870393. The next prime is 13040870431. The reversal of 13040870400 is 407804031.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39398235 + ... + 39398565.

Almost surely, 2^13040870400 is an apocalyptic number.

13040870400 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 13040870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491946040).

13040870400 is an abundant number, since it is smaller than the sum of its proper divisors (37943021680).

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

13040870400 is a wasteful number, since it uses less digits than its factorization.

13040870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 13040870400 in words is "thirteen billion, forty million, eight hundred seventy thousand, four hundred".