13024945440 has 144 divisors (see below), whose sum is σ = 47866743288. Its totient is φ = 3206135808.

The previous prime is 13024945393. The next prime is 13024945441. The reversal of 13024945440 is 4454942031.

13024945440 is a `hidden beast` number, since 1 + 3 + 0 + 24 + 94 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4462774416 + 8562171024 = 66804^2 + 92532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 13024945395 and 13024945404.

It is not an unprimeable number, because it can be changed into a prime (13024945441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329169 + ... + 366608.

Almost surely, 2^13024945440 is an apocalyptic number.

13024945440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13024945440 is an abundant number, since it is smaller than the sum of its proper divisors (34841797848).

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

13024945440 is a wasteful number, since it uses less digits than its factorization.

13024945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695811 (or 695800 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13024945440 in words is "thirteen billion, twenty-four million, nine hundred forty-five thousand, four hundred forty".