13220533440 has 168 divisors, whose sum is σ = 45607620240. Its totient is φ = 3515049984.

The previous prime is 13220533433. The next prime is 13220533441. The reversal of 13220533440 is 4433502231.

13220533440 is a `hidden beast` number, since 1 + 322 + 0 + 5 + 334 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (13220533441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992746 + ... + 1005974.

It is an arithmetic number, because the mean of its divisors is an integer number (271473930).

Almost surely, 2^13220533440 is an apocalyptic number.

13220533440 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 13220533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22803810120).

13220533440 is an abundant number, since it is smaller than the sum of its proper divisors (32387086800).

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

13220533440 is a wasteful number, since it uses less digits than its factorization.

13220533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13599 (or 13586 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 13220533440 in words is "thirteen billion, two hundred twenty million, five hundred thirty-three thousand, four hundred forty".