44442442444000 has 96 divisors (see below), whose sum is σ = 109208639921472. Its totient is φ = 17774769600000.

The previous prime is 44442442443947. The next prime is 44442442444073. The reversal of 44442442444000 is 44424424444.

It is a super-3 number, since 3×44442442444000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31718245 + ... + 33089755.

It is an arithmetic number, because the mean of its divisors is an integer number (1137589999182).

Almost surely, 2^{44442442444000} is an apocalyptic number.

44442442444000 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 44442442444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54604319960736).

44442442444000 is an abundant number, since it is smaller than the sum of its proper divisors (64766197477472).

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

44442442444000 is a wasteful number, since it uses less digits than its factorization.

44442442444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379637 (or 1379619 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 44442442444000 its reverse (44424424444), we get a palindrome (44486866868444).

The spelling of 44442442444000 in words is "forty-four trillion, four hundred forty-two billion, four hundred forty-two million, four hundred forty-four thousand".