8040893200444 has 48 divisors (see below), whose sum is σ = 15522342046848. Its totient is φ = 3621441696768.

The previous prime is 8040893200421. The next prime is 8040893200451. The reversal of 8040893200444 is 4440023980408.

It is a super-4 number, since 4×8040893200444⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8040893200394 and 8040893200403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4057759 + ... + 5705014.

It is an arithmetic number, because the mean of its divisors is an integer number (323382125976).

Almost surely, 2^{8040893200444} is an apocalyptic number.

It is an amenable number.

8040893200444 is a deficient number, since it is larger than the sum of its proper divisors (7481448846404).

8040893200444 is a wasteful number, since it uses less digits than its factorization.

8040893200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9763174 (or 9763172 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 8040893200444 in words is "eight trillion, forty billion, eight hundred ninety-three million, two hundred thousand, four hundred forty-four".