44242442052400 has 120 divisors (see below), whose sum is σ = 106637462176320. Its totient is φ = 17639594138880.

The previous prime is 44242442052397. The next prime is 44242442052437. The reversal of 44242442052400 is 425024424244.

44242442052400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44242442052400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 252629667 + ... + 252804733.

It is an arithmetic number, because the mean of its divisors is an integer number (888645518136).

Almost surely, 2^{44242442052400} is an apocalyptic number.

44242442052400 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 44242442052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53318731088160).

44242442052400 is an abundant number, since it is smaller than the sum of its proper divisors (62395020123920).

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

44242442052400 is a wasteful number, since it uses less digits than its factorization.

44242442052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177131 (or 177120 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 37.

Adding to 44242442052400 its reverse (425024424244), we get a palindrome (44667466476644).

The spelling of 44242442052400 in words is "forty-four trillion, two hundred forty-two billion, four hundred forty-two million, fifty-two thousand, four hundred".