13414025104000 has 256 divisors, whose sum is σ = 34413652859040. Its totient is φ = 5196496896000.

The previous prime is 13414025103989. The next prime is 13414025104013. The reversal of 13414025104000 is 40152041431.

It can be written as a sum of positive squares in 16 ways, for example, as 665869056064 + 12748156047936 = 816008^2 + 3570456^2 .

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 89797372 + ... + 89946628.

Almost surely, 2^{13414025104000} is an apocalyptic number.

13414025104000 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 13414025104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206826429520).

13414025104000 is an abundant number, since it is smaller than the sum of its proper divisors (20999627755040).

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

13414025104000 is a wasteful number, since it uses less digits than its factorization.

13414025104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149464 (or 149442 counting only the distinct ones).

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

Adding to 13414025104000 its reverse (40152041431), we get a palindrome (13454177145431).

The spelling of 13414025104000 in words is "thirteen trillion, four hundred fourteen billion, twenty-five million, one hundred four thousand".