13265965440 has 384 divisors, whose sum is σ = 56382580800. Its totient is φ = 2798862336.

The previous prime is 13265965429. The next prime is 13265965463. The reversal of 13265965440 is 4456956231.

13265965440 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 596 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 511506 + ... + 536814.

Almost surely, 2^13265965440 is an apocalyptic number.

13265965440 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 13265965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28191290400).

13265965440 is an abundant number, since it is smaller than the sum of its proper divisors (43116615360).

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

13265965440 is a wasteful number, since it uses less digits than its factorization.

13265965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25354 (or 25339 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13265965440 in words is "thirteen billion, two hundred sixty-five million, nine hundred sixty-five thousand, four hundred forty".