13396285440 has 480 divisors, whose sum is σ = 49660490880. Its totient is φ = 3450470400.

The previous prime is 13396285421. The next prime is 13396285499. The reversal of 13396285440 is 4458269331.

13396285440 is a `hidden beast` number, since 13 + 3 + 9 + 628 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25712380 + ... + 25712900.

It is an arithmetic number, because the mean of its divisors is an integer number (103459356).

Almost surely, 2^13396285440 is an apocalyptic number.

13396285440 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 13396285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24830245440).

13396285440 is an abundant number, since it is smaller than the sum of its proper divisors (36264205440).

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

13396285440 is an equidigital number, since it uses as much as digits as its factorization.

13396285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13396285440 in words is "thirteen billion, three hundred ninety-six million, two hundred eighty-five thousand, four hundred forty".