13453525440 has 224 divisors, whose sum is σ = 47731680000. Its totient is φ = 3567154176.

The previous prime is 13453525409. The next prime is 13453525441. The reversal of 13453525440 is 4452535431.

13453525440 is a `hidden beast` number, since 1 + 34 + 535 + 2 + 54 + 40 = 666.

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 = 13453525395 and 13453525404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13453525441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542211 + ... + 1550909.

Almost surely, 2^13453525440 is an apocalyptic number.

13453525440 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 13453525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23865840000).

13453525440 is an abundant number, since it is smaller than the sum of its proper divisors (34278154560).

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

13453525440 is a wasteful number, since it uses less digits than its factorization.

13453525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Subtracting from 13453525440 its reverse (4452535431), we obtain a palindrome (9000990009).

The spelling of 13453525440 in words is "thirteen billion, four hundred fifty-three million, five hundred twenty-five thousand, four hundred forty".