13664496040 has 128 divisors (see below), whose sum is σ = 34075792800. Its totient is φ = 4900147200.

The previous prime is 13664496037. The next prime is 13664496047. The reversal of 13664496040 is 4069446631.

It can be written as a sum of positive squares in 16 ways, for example, as 8167459876 + 5497036164 = 90374^2 + 74142^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13664496047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2781106 + ... + 2786014.

Almost surely, 2^13664496040 is an apocalyptic number.

13664496040 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 13664496040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037896400).

13664496040 is an abundant number, since it is smaller than the sum of its proper divisors (20411296760).

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

13664496040 is a wasteful number, since it uses less digits than its factorization.

13664496040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 13664496040 in words is "thirteen billion, six hundred sixty-four million, four hundred ninety-six thousand, forty".