412724364840 has 48 divisors (see below), whose sum is σ = 1341354186900. Its totient is φ = 110059830528.

The previous prime is 412724364827. The next prime is 412724364883. The reversal of 412724364840 is 48463427214.

412724364840 is a `hidden beast` number, since 4 + 127 + 2 + 43 + 6 + 484 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 384844048164 + 27880316676 = 620358^2 + 166974^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 573227925 + ... + 573228644.

Almost surely, 2^412724364840 is an apocalyptic number.

412724364840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412724364840 is an abundant number, since it is smaller than the sum of its proper divisors (928629822060).

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

412724364840 is a wasteful number, since it uses less digits than its factorization.

412724364840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146456586 (or 1146456579 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 412724364840 in words is "four hundred twelve billion, seven hundred twenty-four million, three hundred sixty-four thousand, eight hundred forty".