12461619240 has 576 divisors, whose sum is σ = 49336194960. Its totient is φ = 2717245440.

The previous prime is 12461619161. The next prime is 12461619241. The reversal of 12461619240 is 4291616421.

12461619240 is a `hidden beast` number, since 1 + 2 + 4 + 616 + 19 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1000203876 + 11461415364 = 31626^2 + 107058^2 .

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 = 12461619195 and 12461619204.

It is not an unprimeable number, because it can be changed into a prime (12461619241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39813324 + ... + 39813636.

Almost surely, 2^12461619240 is an apocalyptic number.

12461619240 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 12461619240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24668097480).

12461619240 is an abundant number, since it is smaller than the sum of its proper divisors (36874575720).

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

12461619240 is a wasteful number, since it uses less digits than its factorization.

12461619240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12461619240 in words is "twelve billion, four hundred sixty-one million, six hundred nineteen thousand, two hundred forty".