440242822656 has 1600 divisors, whose sum is σ = 1724865601536. Its totient is φ = 108689817600.

The previous prime is 440242822651. The next prime is 440242822667. The reversal of 440242822656 is 656228242044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440242822651) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6200603101 + ... + 6200603171.

Almost surely, 2^440242822656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440242822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862432800768).

440242822656 is an abundant number, since it is smaller than the sum of its proper divisors (1284622778880).

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

440242822656 is a wasteful number, since it uses less digits than its factorization.

440242822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 440242822656 in words is "four hundred forty billion, two hundred forty-two million, eight hundred twenty-two thousand, six hundred fifty-six".