413924480640 has 512 divisors, whose sum is σ = 1638290707200. Its totient is φ = 97896038400.

The previous prime is 413924480623. The next prime is 413924480647. The reversal of 413924480640 is 46084429314.

413924480640 is a `hidden beast` number, since 41 + 3 + 92 + 4 + 480 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (413924480647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7766724 + ... + 7819836.

Almost surely, 2^413924480640 is an apocalyptic number.

413924480640 is a gapful number since it is divisible by the number (40) 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 413924480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819145353600).

413924480640 is an abundant number, since it is smaller than the sum of its proper divisors (1224366226560).

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

413924480640 is a wasteful number, since it uses less digits than its factorization.

413924480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53193 (or 53175 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 413924480640 in words is "four hundred thirteen billion, nine hundred twenty-four million, four hundred eighty thousand, six hundred forty".