12415090238460 has 288 divisors, whose sum is σ = 48387019705920. Its totient is φ = 2619447538176.

The previous prime is 12415090238449. The next prime is 12415090238479. The reversal of 12415090238460 is 6483209051421.

12415090238460 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 509 + 0 + 2 + 3 + 84 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17702259 + ... + 18390218.

It is an arithmetic number, because the mean of its divisors is an integer number (168010485090).

Almost surely, 2^{12415090238460} is an apocalyptic number.

12415090238460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12415090238460 is an abundant number, since it is smaller than the sum of its proper divisors (35971929467460).

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

12415090238460 is a wasteful number, since it uses less digits than its factorization.

12415090238460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36092522 (or 36092507 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 12415090238460 its reverse (6483209051421), we get a palindrome (18898299289881).

The spelling of 12415090238460 in words is "twelve trillion, four hundred fifteen billion, ninety million, two hundred thirty-eight thousand, four hundred sixty".