413744610240 has 1008 divisors, whose sum is σ = 1610895809952. Its totient is φ = 97337769984.

The previous prime is 413744610239. The next prime is 413744610247. The reversal of 413744610240 is 42016447314.

413744610240 is a `hidden beast` number, since 4 + 1 + 37 + 4 + 4 + 610 + 2 + 4 + 0 = 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 = 413744610195 and 413744610204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413744610247) 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 143 ways as a sum of consecutive naturals, for example, 1109234694 + ... + 1109235066.

Almost surely, 2^413744610240 is an apocalyptic number.

413744610240 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 413744610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805447904976).

413744610240 is an abundant number, since it is smaller than the sum of its proper divisors (1197151199712).

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

413744610240 is a wasteful number, since it uses less digits than its factorization.

413744610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 413744610240 in words is "four hundred thirteen billion, seven hundred forty-four million, six hundred ten thousand, two hundred forty".