13358215440 has 120 divisors (see below), whose sum is σ = 46522939008. Its totient is φ = 3562185600.

The previous prime is 13358215433. The next prime is 13358215441. The reversal of 13358215440 is 4451285331.

13358215440 is a `hidden beast` number, since 1 + 3 + 35 + 82 + 1 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13358215395 and 13358215404.

It is not an unprimeable number, because it can be changed into a prime (13358215441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324136 + ... + 363015.

Almost surely, 2^13358215440 is an apocalyptic number.

13358215440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13358215440 is an abundant number, since it is smaller than the sum of its proper divisors (33164723568).

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

13358215440 is an equidigital number, since it uses as much as digits as its factorization.

13358215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687179 (or 687161 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13358215440 in words is "thirteen billion, three hundred fifty-eight million, two hundred fifteen thousand, four hundred forty".