12416460840 has 480 divisors, whose sum is σ = 48916006920. Its totient is φ = 2816529408.

The previous prime is 12416460827. The next prime is 12416460871. The reversal of 12416460840 is 4806461421.

It is a happy number.

12416460840 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 6 + 4 + 608 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12378342564 + 38118276 = 111258^2 + 6174^2 .

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 = 12416460795 and 12416460804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31275522 + ... + 31275918.

Almost surely, 2^12416460840 is an apocalyptic number.

12416460840 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 12416460840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24458003460).

12416460840 is an abundant number, since it is smaller than the sum of its proper divisors (36499546080).

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

12416460840 is a wasteful number, since it uses less digits than its factorization.

12416460840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12416460840 in words is "twelve billion, four hundred sixteen million, four hundred sixty thousand, eight hundred forty".