413313212040 has 32 divisors (see below), whose sum is σ = 1239939636480. Its totient is φ = 110216856512.

The previous prime is 413313211991. The next prime is 413313212051. The reversal of 413313212040 is 40212313314.

It is a happy number.

It is a super-2 number, since 2×413313212040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413313212040.

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 7 ways as a sum of consecutive naturals, for example, 1722138264 + ... + 1722138503.

It is an arithmetic number, because the mean of its divisors is an integer number (38748113640).

Almost surely, 2^413313212040 is an apocalyptic number.

413313212040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413313212040 is an abundant number, since it is smaller than the sum of its proper divisors (826626424440).

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

413313212040 is a wasteful number, since it uses less digits than its factorization.

413313212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444276781 (or 3444276777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413313212040 its reverse (40212313314), we get a palindrome (453525525354).

The spelling of 413313212040 in words is "four hundred thirteen billion, three hundred thirteen million, two hundred twelve thousand, forty".