13334104072400 has 60 divisors (see below), whose sum is σ = 32352365181804. Its totient is φ = 5280833280000.

The previous prime is 13334104072397. The next prime is 13334104072403. The reversal of 13334104072400 is 427040143331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13334104072397) and next prime (13334104072403).

It can be written as a sum of positive squares in 6 ways, for example, as 189186721936 + 13144917350464 = 434956^2 + 3625592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334104072403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164985641 + ... + 165066440.

Almost surely, 2^{13334104072400} is an apocalyptic number.

13334104072400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334104072400 is an abundant number, since it is smaller than the sum of its proper divisors (19018261109404).

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

13334104072400 is a wasteful number, since it uses less digits than its factorization.

13334104072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330052200 (or 330052189 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 13334104072400 in words is "thirteen trillion, three hundred thirty-four billion, one hundred four million, seventy-two thousand, four hundred".