13342014400 has 168 divisors, whose sum is σ = 38569812624. Its totient is φ = 4478361600.

The previous prime is 13342014397. The next prime is 13342014401. The reversal of 13342014400 is 441024331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342014401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199644 + ... + 257956.

It is an arithmetic number, because the mean of its divisors is an integer number (229582218).

Almost surely, 2^13342014400 is an apocalyptic number.

13342014400 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 13342014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284906312).

13342014400 is an abundant number, since it is smaller than the sum of its proper divisors (25227798224).

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

13342014400 is a wasteful number, since it uses less digits than its factorization.

13342014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58359 (or 58344 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13342014400 its reverse (441024331), we get a palindrome (13783038731).

The spelling of 13342014400 in words is "thirteen billion, three hundred forty-two million, fourteen thousand, four hundred".