44104072320 has 1536 divisors, whose sum is σ = 205302988800. Its totient is φ = 8778792960.

The previous prime is 44104072289. The next prime is 44104072367. The reversal of 44104072320 is 2327040144.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347276097 + ... + 347276223.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^44104072320 is an apocalyptic number.

44104072320 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 44104072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102651494400).

44104072320 is an abundant number, since it is smaller than the sum of its proper divisors (161198916480).

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

44104072320 is a wasteful number, since it uses less digits than its factorization.

44104072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 44104072320 in words is "forty-four billion, one hundred four million, seventy-two thousand, three hundred twenty".