13141314440415 has 64 divisors (see below), whose sum is σ = 28270390763520. Its totient is φ = 5654078138880.

The previous prime is 13141314440399. The next prime is 13141314440459. The reversal of 13141314440415 is 51404441314131.

13141314440415 is a `hidden beast` number, since 1 + 3 + 141 + 31 + 4 + 440 + 41 + 5 = 666.

It is not a de Polignac number, because 13141314440415 - 2⁴ = 13141314440399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13141314440415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408988431 + ... + 409020560.

It is an arithmetic number, because the mean of its divisors is an integer number (441724855680).

Almost surely, 2^{13141314440415} is an apocalyptic number.

13141314440415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13141314440415 is an abundant number, since it is smaller than the sum of its proper divisors (15129076323105).

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

13141314440415 is a wasteful number, since it uses less digits than its factorization.

13141314440415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818009029 (or 818009023 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 13141314440415 its reverse (51404441314131), we get a palindrome (64545755754546).

The spelling of 13141314440415 in words is "thirteen trillion, one hundred forty-one billion, three hundred fourteen million, four hundred forty thousand, four hundred fifteen".