44538854400 has 660 divisors, whose sum is σ = 168799681248. Its totient is φ = 11598888960.

The previous prime is 44538854369. The next prime is 44538854401. The reversal of 44538854400 is 445883544.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44538854401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97458972 + ... + 97459428.

Almost surely, 2^44538854400 is an apocalyptic number.

44538854400 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 44538854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84399840624).

44538854400 is an abundant number, since it is smaller than the sum of its proper divisors (124260826848).

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

44538854400 is a wasteful number, since it uses less digits than its factorization.

44538854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 44538854400 in words is "forty-four billion, five hundred thirty-eight million, eight hundred fifty-four thousand, four hundred".