4044331271904 has 1152 divisors, whose sum is σ = 14404200814080. Its totient is φ = 980995276800.

The previous prime is 4044331271879. The next prime is 4044331271921. The reversal of 4044331271904 is 4091721334404.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5259208032 + ... + 5259208800.

It is an arithmetic number, because the mean of its divisors is an integer number (12503646540).

Almost surely, 2^{4044331271904} is an apocalyptic number.

4044331271904 is a gapful number since it is divisible by the number (44) 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 4044331271904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202100407040).

4044331271904 is an abundant number, since it is smaller than the sum of its proper divisors (10359869542176).

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

4044331271904 is a wasteful number, since it uses less digits than its factorization.

4044331271904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4044331271904 in words is "four trillion, forty-four billion, three hundred thirty-one million, two hundred seventy-one thousand, nine hundred four".