413300041440 has 768 divisors, whose sum is σ = 1616761036800. Its totient is φ = 87251558400.

The previous prime is 413300041433. The next prime is 413300041481. The reversal of 413300041440 is 44140003314.

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 413300041440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 405593251 + ... + 405594269.

It is an arithmetic number, because the mean of its divisors is an integer number (2105157600).

Almost surely, 2^413300041440 is an apocalyptic number.

413300041440 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 413300041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808380518400).

413300041440 is an abundant number, since it is smaller than the sum of its proper divisors (1203460995360).

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

413300041440 is a wasteful number, since it uses less digits than its factorization.

413300041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413300041440 its reverse (44140003314), we get a palindrome (457440044754).

The spelling of 413300041440 in words is "four hundred thirteen billion, three hundred million, forty-one thousand, four hundred forty".