413004330240 has 144 divisors (see below), whose sum is σ = 1319415474048. Its totient is φ = 110102519808.

The previous prime is 413004330197. The next prime is 413004330259. The reversal of 413004330240 is 42033400314.

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 413004330240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15127482 + ... + 15154758.

Almost surely, 2^413004330240 is an apocalyptic number.

413004330240 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 413004330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659707737024).

413004330240 is an abundant number, since it is smaller than the sum of its proper divisors (906411143808).

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

413004330240 is a wasteful number, since it uses less digits than its factorization.

413004330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31244 (or 31230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 413004330240 its reverse (42033400314), we get a palindrome (455037730554).

The spelling of 413004330240 in words is "four hundred thirteen billion, four million, three hundred thirty thousand, two hundred forty".