13229600400 has 405 divisors, whose sum is σ = 48354668713. Its totient is φ = 3478204800.

The previous prime is 13229600387. The next prime is 13229600407. The reversal of 13229600400 is 400692231.

The square root of 13229600400 is 115020.

It is a perfect power (a square), and thus also a powerful number.

13229600400 is a `hidden beast` number, since 1 + 32 + 29 + 600 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4762656144 + 8466944256 = 69012^2 + 92016^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13229600407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 186332365 + ... + 186332435.

Almost surely, 2^13229600400 is an apocalyptic number.

13229600400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13229600400 is the 115020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13229600400

13229600400 is an abundant number, since it is smaller than the sum of its proper divisors (35125068313).

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

13229600400 is an frugal number, since it uses more digits than its factorization.

13229600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13229600400 in words is "thirteen billion, two hundred twenty-nine million, six hundred thousand, four hundred".