8400408008444 has 12 divisors (see below), whose sum is σ = 14712101098968. Its totient is φ = 4196950551600.

The previous prime is 8400408008429. The next prime is 8400408008477. The reversal of 8400408008444 is 4448008040048.

It is a super-2 number, since 2×8400408008444² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8400408008395 and 8400408008404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 813357347 + ... + 813367674.

It is an arithmetic number, because the mean of its divisors is an integer number (1226008424914).

Almost surely, 2^{8400408008444} is an apocalyptic number.

It is an amenable number.

8400408008444 is a deficient number, since it is larger than the sum of its proper divisors (6311693090524).

8400408008444 is a wasteful number, since it uses less digits than its factorization.

8400408008444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626726316 (or 1626726314 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 8400408008444 in words is "eight trillion, four hundred billion, four hundred eight million, eight thousand, four hundred forty-four".