13413044736 has 480 divisors, whose sum is σ = 49331842560. Its totient is φ = 3412426752.

The previous prime is 13413044731. The next prime is 13413044741. The reversal of 13413044736 is 63744031431.

13413044736 is a `hidden beast` number, since 1 + 341 + 304 + 4 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13413044731) and next prime (13413044741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13413044736.

It is not an unprimeable number, because it can be changed into a prime (13413044731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12159961 + ... + 12161063.

It is an arithmetic number, because the mean of its divisors is an integer number (102774672).

Almost surely, 2^13413044736 is an apocalyptic number.

13413044736 is a gapful number since it is divisible by the number (16) 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 13413044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24665921280).

13413044736 is an abundant number, since it is smaller than the sum of its proper divisors (35918797824).

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

13413044736 is a wasteful number, since it uses less digits than its factorization.

13413044736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13413044736 in words is "thirteen billion, four hundred thirteen million, forty-four thousand, seven hundred thirty-six".