413150544040 has 128 divisors (see below), whose sum is σ = 1028609487360. Its totient is φ = 148358974464.

The previous prime is 413150543977. The next prime is 413150544047. The reversal of 413150544040 is 40445051314.

It is a junction number, because it is equal to n+sod(n) for n = 413150543993 and 413150544011.

It is not an unprimeable number, because it can be changed into a prime (413150544047) 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, 69703557 + ... + 69709483.

It is an arithmetic number, because the mean of its divisors is an integer number (8036011620).

Almost surely, 2^413150544040 is an apocalyptic number.

413150544040 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 413150544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514304743680).

413150544040 is an abundant number, since it is smaller than the sum of its proper divisors (615458943320).

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

413150544040 is a wasteful number, since it uses less digits than its factorization.

413150544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9607 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 413150544040 its reverse (40445051314), we get a palindrome (453595595354).

The spelling of 413150544040 in words is "four hundred thirteen billion, one hundred fifty million, five hundred forty-four thousand, forty".