13514412400000 has 192 divisors, whose sum is σ = 33791775937920. Its totient is φ = 5383296000000.

The previous prime is 13514412399997. The next prime is 13514412400019. The reversal of 13514412400000 is 421441531.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96329905 + ... + 96470095.

It is an arithmetic number, because the mean of its divisors is an integer number (175998833010).

Almost surely, 2^{13514412400000} is an apocalyptic number.

13514412400000 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 13514412400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895887968960).

13514412400000 is an abundant number, since it is smaller than the sum of its proper divisors (20277363537920).

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

13514412400000 is an frugal number, since it uses more digits than its factorization.

13514412400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140471 (or 140439 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 13514412400000 its reverse (421441531), we get a palindrome (13514833841531).

The spelling of 13514412400000 in words is "thirteen trillion, five hundred fourteen billion, four hundred twelve million, four hundred thousand".