44942802432000 has 2496 divisors, whose sum is σ = 176046350538240. Its totient is φ = 10082451456000.

The previous prime is 44942802431993. The next prime is 44942802432007. The reversal of 44942802432000 is 23420824944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44942802431993) and next prime (44942802432007).

It is a super-3 number, since 3×44942802432000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44942802432007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 670788095967 + ... + 670788096033.

It is an arithmetic number, because the mean of its divisors is an integer number (70531390440).

Almost surely, 2^{44942802432000} is an apocalyptic number.

44942802432000 is a gapful number since it is divisible by the number (40) 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 44942802432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88023175269120).

44942802432000 is an abundant number, since it is smaller than the sum of its proper divisors (131103548106240).

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

44942802432000 is a wasteful number, since it uses less digits than its factorization.

44942802432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 44942802432000 in words is "forty-four trillion, nine hundred forty-two billion, eight hundred two million, four hundred thirty-two thousand".