13410904320 has 540 divisors, whose sum is σ = 52795017660. Its totient is φ = 3248087040.

The previous prime is 13410904303. The next prime is 13410904337. The reversal of 13410904320 is 2340901431.

13410904320 is a `hidden beast` number, since 134 + 10 + 90 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13410904303) and next prime (13410904337).

It can be written as a sum of positive squares in 2 ways, for example, as 5542504704 + 7868399616 = 74448^2 + 88704^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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, 12544746 + ... + 12545814.

Almost surely, 2^13410904320 is an apocalyptic number.

13410904320 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 13410904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26397508830).

13410904320 is an abundant number, since it is smaller than the sum of its proper divisors (39384113340).

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

13410904320 is a wasteful number, since it uses less digits than its factorization.

13410904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13410904320 in words is "thirteen billion, four hundred ten million, nine hundred four thousand, three hundred twenty".