13613414400 has 432 divisors, whose sum is σ = 50379900480. Its totient is φ = 3509452800.

The previous prime is 13613414389. The next prime is 13613414453. The reversal of 13613414400 is 441431631.

13613414400 is a `hidden beast` number, since 1 + 3 + 613 + 4 + 1 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×13613414400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14284324 + ... + 14285276.

It is an arithmetic number, because the mean of its divisors is an integer number (116620140).

Almost surely, 2^13613414400 is an apocalyptic number.

13613414400 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 13613414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189950240).

13613414400 is an abundant number, since it is smaller than the sum of its proper divisors (36766486080).

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

13613414400 is a wasteful number, since it uses less digits than its factorization.

13613414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13613414400 in words is "thirteen billion, six hundred thirteen million, four hundred fourteen thousand, four hundred".