413415320440 has 64 divisors (see below), whose sum is σ = 944674941600. Its totient is φ = 162806003712.

The previous prime is 413415320431. The next prime is 413415320489. The reversal of 413415320440 is 44023514314.

It is a congruent number.

It is an unprimeable number.

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, 580279 + ... + 1078681.

Almost surely, 2^413415320440 is an apocalyptic number.

413415320440 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 413415320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472337470800).

413415320440 is an abundant number, since it is smaller than the sum of its proper divisors (531259621160).

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

413415320440 is a wasteful number, since it uses less digits than its factorization.

413415320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498736 (or 498732 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 413415320440 its reverse (44023514314), we get a palindrome (457438834754).

The spelling of 413415320440 in words is "four hundred thirteen billion, four hundred fifteen million, three hundred twenty thousand, four hundred forty".