4000444044000 has 96 divisors (see below), whose sum is σ = 13105454727456. Its totient is φ = 1066785075200.

The previous prime is 4000444043983. The next prime is 4000444044031. The reversal of 4000444044000 is 4404440004.

4000444044000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166673169 + ... + 166697168.

It is an arithmetic number, because the mean of its divisors is an integer number (136515153411).

Almost surely, 2^{4000444044000} is an apocalyptic number.

4000444044000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000444044000 is an abundant number, since it is smaller than the sum of its proper divisors (9105010683456).

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

4000444044000 is a wasteful number, since it uses less digits than its factorization.

4000444044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333370365 (or 333370347 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4000444044000 its reverse (4404440004), we get a palindrome (4004848484004).

The spelling of 4000444044000 in words is "four trillion, four hundred forty-four million, forty-four thousand".