13415251420440 has 64 divisors (see below), whose sum is σ = 44717504738400. Its totient is φ = 3577400378496.

The previous prime is 13415251420397. The next prime is 13415251420463. The reversal of 13415251420440 is 4402415251431.

13415251420440 is a `hidden beast` number, since 1 + 3 + 415 + 25 + 14 + 204 + 4 + 0 = 666.

13415251420440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13415251420395 and 13415251420404.

It is a congruent number.

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, 6210763467 + ... + 6210765626.

Almost surely, 2^{13415251420440} is an apocalyptic number.

13415251420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13415251420440 is an abundant number, since it is smaller than the sum of its proper divisors (31302253317960).

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

13415251420440 is a wasteful number, since it uses less digits than its factorization.

13415251420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12421529113 (or 12421529103 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 13415251420440 its reverse (4402415251431), we get a palindrome (17817666671871).

The spelling of 13415251420440 in words is "thirteen trillion, four hundred fifteen billion, two hundred fifty-one million, four hundred twenty thousand, four hundred forty".