44432390688 has 192 divisors, whose sum is σ = 137987555328. Its totient is φ = 12253731840.

The previous prime is 44432390683. The next prime is 44432390689. The reversal of 44432390688 is 88609323444.

It is a super-2 number, since 2×44432390688² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44432390688.

It is not an unprimeable number, because it can be changed into a prime (44432390683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3150693 + ... + 3164763.

It is an arithmetic number, because the mean of its divisors is an integer number (718685184).

Almost surely, 2^44432390688 is an apocalyptic number.

44432390688 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 44432390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68993777664).

44432390688 is an abundant number, since it is smaller than the sum of its proper divisors (93555164640).

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

44432390688 is a wasteful number, since it uses less digits than its factorization.

44432390688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14247 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 44432390688 in words is "forty-four billion, four hundred thirty-two million, three hundred ninety thousand, six hundred eighty-eight".