413330515000 has 160 divisors (see below), whose sum is σ = 1071121756320. Its totient is φ = 148488768000.

The previous prime is 413330514997. The next prime is 413330515021. The reversal of 413330515000 is 515033314.

It is a super-2 number, since 2×413330515000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2319069 + ... + 2490931.

It is an arithmetic number, because the mean of its divisors is an integer number (6694510977).

Almost surely, 2^413330515000 is an apocalyptic number.

413330515000 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 413330515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535560878160).

413330515000 is an abundant number, since it is smaller than the sum of its proper divisors (657791241320).

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

413330515000 is a wasteful number, since it uses less digits than its factorization.

413330515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171939 (or 171920 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 413330515000 its reverse (515033314), we get a palindrome (413845548314).

The spelling of 413330515000 in words is "four hundred thirteen billion, three hundred thirty million, five hundred fifteen thousand".