13402616832 has 352 divisors, whose sum is σ = 43767152640. Its totient is φ = 4017807360.

The previous prime is 13402616831. The next prime is 13402616837. The reversal of 13402616832 is 23861620431.

13402616832 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 616 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402616831) 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, 38624083 + ... + 38624429.

Almost surely, 2^13402616832 is an apocalyptic number.

13402616832 is a gapful number since it is divisible by the number (12) 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 13402616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21883576320).

13402616832 is an abundant number, since it is smaller than the sum of its proper divisors (30364535808).

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

13402616832 is a wasteful number, since it uses less digits than its factorization.

13402616832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13402616832 in words is "thirteen billion, four hundred two million, six hundred sixteen thousand, eight hundred thirty-two".