13642214400 has 924 divisors, whose sum is σ = 54931932792. Its totient is φ = 3344302080.

The previous prime is 13642214381. The next prime is 13642214401. The reversal of 13642214400 is 441224631.

It is a happy number.

13642214400 is a `hidden beast` number, since 1 + 3 + 6 + 42 + 214 + 400 = 666.

It is a super-2 number, since 2×13642214400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642214401) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 317260779 + ... + 317260821.

Almost surely, 2^13642214400 is an apocalyptic number.

13642214400 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 13642214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27465966396).

13642214400 is an abundant number, since it is smaller than the sum of its proper divisors (41289718392).

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

13642214400 is an equidigital number, since it uses as much as digits as its factorization.

13642214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 13642214400 in words is "thirteen billion, six hundred forty-two million, two hundred fourteen thousand, four hundred".