44742297600 has 1728 divisors, whose sum is σ = 217362337920. Its totient is φ = 8493465600.

The previous prime is 44742297599. The next prime is 44742297643. The reversal of 44742297600 is 679224744.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 461260752 + ... + 461260848.

It is an arithmetic number, because the mean of its divisors is an integer number (125788390).

Almost surely, 2^44742297600 is an apocalyptic number.

44742297600 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 44742297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108681168960).

44742297600 is an abundant number, since it is smaller than the sum of its proper divisors (172620040320).

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

44742297600 is a wasteful number, since it uses less digits than its factorization.

44742297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 44742297600 in words is "forty-four billion, seven hundred forty-two million, two hundred ninety-seven thousand, six hundred".