8000444400004 has 48 divisors (see below), whose sum is σ = 16392129578496. Its totient is φ = 3344934528000.

The previous prime is 8000444399951. The next prime is 8000444400089. The reversal of 8000444400004 is 4000044440008.

It is a super-2 number, since 2×8000444400004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 19950012 + ... + 20347084.

It is an arithmetic number, because the mean of its divisors is an integer number (341502699552).

Almost surely, 2^{8000444400004} is an apocalyptic number.

It is an amenable number.

8000444400004 is an abundant number, since it is smaller than the sum of its proper divisors (8391685178492).

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

8000444400004 is a wasteful number, since it uses less digits than its factorization.

8000444400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414676 (or 414674 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 8000444400004 in words is "eight trillion, four hundred forty-four million, four hundred thousand, four".