13641021401120 has 96 divisors (see below), whose sum is σ = 32981437621440. Its totient is φ = 5328697328640.

The previous prime is 13641021401107. The next prime is 13641021401213. The reversal of 13641021401120 is 2110412014631.

It is a self number, because there is not a number n which added to its sum of digits gives 13641021401120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45678851 + ... + 45976509.

It is an arithmetic number, because the mean of its divisors is an integer number (343556641890).

Almost surely, 2^{13641021401120} is an apocalyptic number.

13641021401120 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 13641021401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490718810720).

13641021401120 is an abundant number, since it is smaller than the sum of its proper divisors (19340416220320).

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

13641021401120 is a wasteful number, since it uses less digits than its factorization.

13641021401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304378 (or 304370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 13641021401120 its reverse (2110412014631), we get a palindrome (15751433415751).

The spelling of 13641021401120 in words is "thirteen trillion, six hundred forty-one billion, twenty-one million, four hundred one thousand, one hundred twenty".