413233013040 has 160 divisors (see below), whose sum is σ = 1293517209600. Its totient is φ = 109121817600.

The previous prime is 413233013033. The next prime is 413233013041. The reversal of 413233013040 is 40310332314.

It is a super-2 number, since 2×413233013040² (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 413233013040.

It is not an unprimeable number, because it can be changed into a prime (413233013041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61498801 + ... + 61505519.

It is an arithmetic number, because the mean of its divisors is an integer number (8084482560).

Almost surely, 2^413233013040 is an apocalyptic number.

413233013040 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 413233013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646758604800).

413233013040 is an abundant number, since it is smaller than the sum of its proper divisors (880284196560).

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

413233013040 is a wasteful number, since it uses less digits than its factorization.

413233013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 413233013040 its reverse (40310332314), we get a palindrome (453543345354).

The spelling of 413233013040 in words is "four hundred thirteen billion, two hundred thirty-three million, thirteen thousand, forty".