13365589440 has 224 divisors, whose sum is σ = 48567075840. Its totient is φ = 3050643456.

The previous prime is 13365589411. The next prime is 13365589441. The reversal of 13365589440 is 4498556331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13365589440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13365589441) 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, 8661309 + ... + 8662851.

Almost surely, 2^13365589440 is an apocalyptic number.

13365589440 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 13365589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24283537920).

13365589440 is an abundant number, since it is smaller than the sum of its proper divisors (35201486400).

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

13365589440 is a wasteful number, since it uses less digits than its factorization.

13365589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 13365589440 in words is "thirteen billion, three hundred sixty-five million, five hundred eighty-nine thousand, four hundred forty".