13444136640 has 336 divisors, whose sum is σ = 52642227456. Its totient is φ = 3117312000.

The previous prime is 13444136633. The next prime is 13444136681. The reversal of 13444136640 is 4663144431.

13444136640 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 1 + 3 + 6 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 13444136595 and 13444136604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719415 + ... + 737865.

It is an arithmetic number, because the mean of its divisors is an integer number (156673296).

Almost surely, 2^13444136640 is an apocalyptic number.

13444136640 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 13444136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26321113728).

13444136640 is an abundant number, since it is smaller than the sum of its proper divisors (39198090816).

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

13444136640 is a wasteful number, since it uses less digits than its factorization.

13444136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18508 (or 18495 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13444136640 in words is "thirteen billion, four hundred forty-four million, one hundred thirty-six thousand, six hundred forty".