13074877440 has 616 divisors, whose sum is σ = 48971576448. Its totient is φ = 3344302080.

The previous prime is 13074877427. The next prime is 13074877481. The reversal of 13074877440 is 4477847031.

13074877440 is a `hidden beast` number, since 130 + 7 + 4 + 8 + 77 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 115706824 + ... + 115706936.

Almost surely, 2^13074877440 is an apocalyptic number.

13074877440 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 13074877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24485788224).

13074877440 is an abundant number, since it is smaller than the sum of its proper divisors (35896699008).

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

13074877440 is an equidigital number, since it uses as much as digits as its factorization.

13074877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 13074877440 in words is "thirteen billion, seventy-four million, eight hundred seventy-seven thousand, four hundred forty".