13401117338400 has 1152 divisors, whose sum is σ = 53322937113600. Its totient is φ = 3221283225600.

The previous prime is 13401117338341. The next prime is 13401117338407. The reversal of 13401117338400 is 483371110431.

It is a happy number.

13401117338400 is a `hidden beast` number, since 1 + 3 + 40 + 11 + 173 + 38 + 400 = 666.

It is a super-2 number, since 2×13401117338400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13401117338407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22598848504 + ... + 22598849096.

It is an arithmetic number, because the mean of its divisors is an integer number (46287271800).

Almost surely, 2^{13401117338400} is an apocalyptic number.

13401117338400 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 13401117338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26661468556800).

13401117338400 is an abundant number, since it is smaller than the sum of its proper divisors (39921819775200).

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

13401117338400 is a wasteful number, since it uses less digits than its factorization.

13401117338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 13401117338400 its reverse (483371110431), we get a palindrome (13884488448831).

The spelling of 13401117338400 in words is "thirteen trillion, four hundred one billion, one hundred seventeen million, three hundred thirty-eight thousand, four hundred".