413300023440 has 320 divisors, whose sum is σ = 1325915136000. Its totient is φ = 106439731200.

The previous prime is 413300023379. The next prime is 413300023501. The reversal of 413300023440 is 44320003314.

It is an interprime number because it is at equal distance from previous prime (413300023379) and next prime (413300023501).

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 413300023440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568500357 + ... + 568501083.

It is an arithmetic number, because the mean of its divisors is an integer number (4143484800).

Almost surely, 2^413300023440 is an apocalyptic number.

413300023440 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 413300023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662957568000).

413300023440 is an abundant number, since it is smaller than the sum of its proper divisors (912615112560).

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

413300023440 is a wasteful number, since it uses less digits than its factorization.

413300023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

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

Adding to 413300023440 its reverse (44320003314), we get a palindrome (457620026754).

The spelling of 413300023440 in words is "four hundred thirteen billion, three hundred million, twenty-three thousand, four hundred forty".