13160431142400 has 240 divisors, whose sum is σ = 43508815257600. Its totient is φ = 3506691317760.

The previous prime is 13160431142387. The next prime is 13160431142423. The reversal of 13160431142400 is 424113406131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48979621 + ... + 49247579.

It is an arithmetic number, because the mean of its divisors is an integer number (181286730240).

Almost surely, 2^{13160431142400} is an apocalyptic number.

13160431142400 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 13160431142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21754407628800).

13160431142400 is an abundant number, since it is smaller than the sum of its proper divisors (30348384115200).

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

13160431142400 is a wasteful number, since it uses less digits than its factorization.

13160431142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269269 (or 269248 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13160431142400 its reverse (424113406131), we get a palindrome (13584544548531).

The spelling of 13160431142400 in words is "thirteen trillion, one hundred sixty billion, four hundred thirty-one million, one hundred forty-two thousand, four hundred".