12416715480 has 128 divisors (see below), whose sum is σ = 40204523520. Its totient is φ = 3049643520.

The previous prime is 12416715469. The next prime is 12416715499. The reversal of 12416715480 is 8451761421.

It is a super-2 number, since 2×12416715480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713685 + ... + 730875.

It is an arithmetic number, because the mean of its divisors is an integer number (314097840).

Almost surely, 2^12416715480 is an apocalyptic number.

12416715480 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 12416715480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102261760).

12416715480 is an abundant number, since it is smaller than the sum of its proper divisors (27787808040).

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

12416715480 is a wasteful number, since it uses less digits than its factorization.

12416715480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17681 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 12416715480 in words is "twelve billion, four hundred sixteen million, seven hundred fifteen thousand, four hundred eighty".