13305253440 has 112 divisors (see below), whose sum is σ = 44080956288. Its totient is φ = 3393798144.

The previous prime is 13305253433. The next prime is 13305253459. The reversal of 13305253440 is 4435250331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13305253398 and 13305253407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279217 + ... + 323376.

Almost surely, 2^13305253440 is an apocalyptic number.

13305253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13305253440 is an abundant number, since it is smaller than the sum of its proper divisors (30775702848).

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

13305253440 is a wasteful number, since it uses less digits than its factorization.

13305253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602636 (or 602626 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 13305253440 in words is "thirteen billion, three hundred five million, two hundred fifty-three thousand, four hundred forty".