44851104000 has 1152 divisors, whose sum is σ = 180298460160. Its totient is φ = 10948608000.

The previous prime is 44851103989. The next prime is 44851104013. The reversal of 44851104000 is 40115844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 735263970 + ... + 735264030.

It is an arithmetic number, because the mean of its divisors is an integer number (156509080).

Almost surely, 2^44851104000 is an apocalyptic number.

44851104000 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 44851104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90149230080).

44851104000 is an abundant number, since it is smaller than the sum of its proper divisors (135447356160).

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

44851104000 is a wasteful number, since it uses less digits than its factorization.

44851104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 44851104000 its reverse (40115844), we get a palindrome (44891219844).

The spelling of 44851104000 in words is "forty-four billion, eight hundred fifty-one million, one hundred four thousand".