13020525440 has 128 divisors (see below), whose sum is σ = 33594613920. Its totient is φ = 4797112320.

The previous prime is 13020525379. The next prime is 13020525443. The reversal of 13020525440 is 4452502031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020525443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4549610 + ... + 4552470.

Almost surely, 2^13020525440 is an apocalyptic number.

13020525440 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 13020525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797306960).

13020525440 is an abundant number, since it is smaller than the sum of its proper divisors (20574088480).

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

13020525440 is a wasteful number, since it uses less digits than its factorization.

13020525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 13020525440 in words is "thirteen billion, twenty million, five hundred twenty-five thousand, four hundred forty".