413440244448 has 192 divisors, whose sum is σ = 1354437407232. Its totient is φ = 107279124480.

The previous prime is 413440244447. The next prime is 413440244453. The reversal of 413440244448 is 844442044314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413440244447) 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, 7460490 + ... + 7515702.

It is an arithmetic number, because the mean of its divisors is an integer number (7054361496).

Almost surely, 2^413440244448 is an apocalyptic number.

413440244448 is a gapful number since it is divisible by the number (48) 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 413440244448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677218703616).

413440244448 is an abundant number, since it is smaller than the sum of its proper divisors (940997162784).

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

413440244448 is a wasteful number, since it uses less digits than its factorization.

413440244448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56257 (or 56249 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

The spelling of 413440244448 in words is "four hundred thirteen billion, four hundred forty million, two hundred forty-four thousand, four hundred forty-eight".