444427615632 has 320 divisors, whose sum is σ = 1545937053696. Its totient is φ = 106250158080.

The previous prime is 444427615631. The next prime is 444427615703. The reversal of 444427615632 is 236516724444.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is not an unprimeable number, because it can be changed into a prime (444427615631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16947843 + ... + 16974045.

Almost surely, 2^444427615632 is an apocalyptic number.

444427615632 is a gapful number since it is divisible by the number (42) 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 444427615632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772968526848).

444427615632 is an abundant number, since it is smaller than the sum of its proper divisors (1101509438064).

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

444427615632 is a wasteful number, since it uses less digits than its factorization.

444427615632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26598 (or 26592 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 48.

The spelling of 444427615632 in words is "four hundred forty-four billion, four hundred twenty-seven million, six hundred fifteen thousand, six hundred thirty-two".