13342400104320 has 576 divisors, whose sum is σ = 56747766769200. Its totient is φ = 2870296805376.

The previous prime is 13342400104307. The next prime is 13342400104321. The reversal of 13342400104320 is 2340100424331.

13342400104320 is a `hidden beast` number, since 1 + 334 + 2 + 4 + 0 + 0 + 1 + 0 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342400104321) 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, 3407691 + ... + 6188469.

Almost surely, 2^{13342400104320} is an apocalyptic number.

13342400104320 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 13342400104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28373883384600).

13342400104320 is an abundant number, since it is smaller than the sum of its proper divisors (43405366664880).

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

13342400104320 is a wasteful number, since it uses less digits than its factorization.

13342400104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780835 (or 2780813 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13342400104320 its reverse (2340100424331), we get a palindrome (15682500528651).

The spelling of 13342400104320 in words is "thirteen trillion, three hundred forty-two billion, four hundred million, one hundred four thousand, three hundred twenty".