440499725568 has 432 divisors, whose sum is σ = 1482674234496. Its totient is φ = 123181793280.

The previous prime is 440499725527. The next prime is 440499725569. The reversal of 440499725568 is 865527994044.

440499725568 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 9 + 9 + 72 + 556 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440499725569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161294763 + ... + 161297493.

Almost surely, 2^440499725568 is an apocalyptic number.

440499725568 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 440499725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741337117248).

440499725568 is an abundant number, since it is smaller than the sum of its proper divisors (1042174508928).

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

440499725568 is a wasteful number, since it uses less digits than its factorization.

440499725568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 440499725568 in words is "four hundred forty billion, four hundred ninety-nine million, seven hundred twenty-five thousand, five hundred sixty-eight".