44220242400 has 144 divisors (see below), whose sum is σ = 144498970224. Its totient is φ = 11746017280.

The previous prime is 44220242333. The next prime is 44220242413. The reversal of 44220242400 is 424202244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580954 + ... + 652646.

It is an arithmetic number, because the mean of its divisors is an integer number (1003465071).

Almost surely, 2^44220242400 is an apocalyptic number.

44220242400 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 44220242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72249485112).

44220242400 is an abundant number, since it is smaller than the sum of its proper divisors (100278727824).

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

44220242400 is a wasteful number, since it uses less digits than its factorization.

44220242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71973 (or 71960 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44220242400 its reverse (424202244), we get a palindrome (44644444644).

The spelling of 44220242400 in words is "forty-four billion, two hundred twenty million, two hundred forty-two thousand, four hundred".