13423137875400 has 768 divisors, whose sum is σ = 46820403302400. Its totient is φ = 3153447936000.

The previous prime is 13423137875311. The next prime is 13423137875401. The reversal of 13423137875400 is 457873132431.

It is a super-3 number, since 3×13423137875400³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13423137875400.

It is not an unprimeable number, because it can be changed into a prime (13423137875401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16551340995 + ... + 16551341805.

It is an arithmetic number, because the mean of its divisors is an integer number (60964066800).

Almost surely, 2^{13423137875400} is an apocalyptic number.

13423137875400 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 13423137875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410201651200).

13423137875400 is an abundant number, since it is smaller than the sum of its proper divisors (33397265427000).

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

13423137875400 is a wasteful number, since it uses less digits than its factorization.

13423137875400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 13423137875400 in words is "thirteen trillion, four hundred twenty-three billion, one hundred thirty-seven million, eight hundred seventy-five thousand, four hundred".