44444774400 has 624 divisors, whose sum is σ = 163809515520. Its totient is φ = 10557849600.

The previous prime is 44444774357. The next prime is 44444774401. The reversal of 44444774400 is 447744444.

It is a tau number, because it is divible by the number of its divisors (624).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44444774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123801421 + ... + 123801779.

Almost surely, 2^44444774400 is an apocalyptic number.

44444774400 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 44444774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81904757760).

44444774400 is an abundant number, since it is smaller than the sum of its proper divisors (119364741120).

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

44444774400 is a wasteful number, since it uses less digits than its factorization.

44444774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 42.

The spelling of 44444774400 in words is "forty-four billion, four hundred forty-four million, seven hundred seventy-four thousand, four hundred".