413010120440 has 64 divisors (see below), whose sum is σ = 978793459200. Its totient is φ = 156411243648.

The previous prime is 413010120433. The next prime is 413010120443. The reversal of 413010120440 is 44021010314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413010120443) 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 15 ways as a sum of consecutive naturals, for example, 1052237 + ... + 1390403.

It is an arithmetic number, because the mean of its divisors is an integer number (15293647800).

Almost surely, 2^413010120440 is an apocalyptic number.

413010120440 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 413010120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489396729600).

413010120440 is an abundant number, since it is smaller than the sum of its proper divisors (565783338760).

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

413010120440 is a wasteful number, since it uses less digits than its factorization.

413010120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339804 (or 339800 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 413010120440 its reverse (44021010314), we get a palindrome (457031130754).

The spelling of 413010120440 in words is "four hundred thirteen billion, ten million, one hundred twenty thousand, four hundred forty".