12414732840 has 256 divisors, whose sum is σ = 43144531200. Its totient is φ = 3172359168.

The previous prime is 12414732833. The next prime is 12414732857. The reversal of 12414732840 is 4823741421.

12414732840 is a `hidden beast` number, since 124 + 1 + 473 + 28 + 40 = 666.

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 = 12414732795 and 12414732804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2675002 + ... + 2679638.

It is an arithmetic number, because the mean of its divisors is an integer number (168533325).

Almost surely, 2^12414732840 is an apocalyptic number.

12414732840 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 12414732840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21572265600).

12414732840 is an abundant number, since it is smaller than the sum of its proper divisors (30729798360).

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

12414732840 is a wasteful number, since it uses less digits than its factorization.

12414732840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12414732840 in words is "twelve billion, four hundred fourteen million, seven hundred thirty-two thousand, eight hundred forty".