44922800951040 has 288 divisors, whose sum is σ = 148789784001600. Its totient is φ = 11537475174400.

The previous prime is 44922800950981. The next prime is 44922800951047. The reversal of 44922800951040 is 4015900822944.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44922800951047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44152366 + ... + 45158354.

It is an arithmetic number, because the mean of its divisors is an integer number (516631194450).

Almost surely, 2^{44922800951040} is an apocalyptic number.

44922800951040 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 44922800951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74394892000800).

44922800951040 is an abundant number, since it is smaller than the sum of its proper divisors (103866983050560).

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

44922800951040 is a wasteful number, since it uses less digits than its factorization.

44922800951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006443 (or 1006429 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 44922800951040 in words is "forty-four trillion, nine hundred twenty-two billion, eight hundred million, nine hundred fifty-one thousand, forty".