13415410512 has 400 divisors, whose sum is σ = 45876230400. Its totient is φ = 3782806272.

The previous prime is 13415410493. The next prime is 13415410523. The reversal of 13415410512 is 21501451431.

13415410512 is a `hidden beast` number, since 134 + 1 + 5 + 4 + 10 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45786238 + ... + 45786530.

It is an arithmetic number, because the mean of its divisors is an integer number (114690576).

Almost surely, 2^13415410512 is an apocalyptic number.

13415410512 is a gapful number since it is divisible by the number (12) 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 13415410512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938115200).

13415410512 is an abundant number, since it is smaller than the sum of its proper divisors (32460819888).

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

13415410512 is a wasteful number, since it uses less digits than its factorization.

13415410512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13415410512 its reverse (21501451431), we get a palindrome (34916861943).

The spelling of 13415410512 in words is "thirteen billion, four hundred fifteen million, four hundred ten thousand, five hundred twelve".