13214534400 has 648 divisors, whose sum is σ = 50857213680. Its totient is φ = 3390750720.

The previous prime is 13214534383. The next prime is 13214534407. The reversal of 13214534400 is 443541231.

It is a happy number.

13214534400 is a `hidden beast` number, since 1 + 3 + 214 + 5 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is not an unprimeable number, because it can be changed into a prime (13214534407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45100654 + ... + 45100946.

Almost surely, 2^13214534400 is an apocalyptic number.

13214534400 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 13214534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25428606840).

13214534400 is an abundant number, since it is smaller than the sum of its proper divisors (37642679280).

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

13214534400 is an equidigital number, since it uses as much as digits as its factorization.

13214534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 13214534400 in words is "thirteen billion, two hundred fourteen million, five hundred thirty-four thousand, four hundred".