4442171865408 has 168 divisors, whose sum is σ = 13899226679520. Its totient is φ = 1402791022080.

The previous prime is 4442171865401. The next prime is 4442171865419. The reversal of 4442171865408 is 8045681712444.

4442171865408 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 17 + 1 + 86 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442171865401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7221183 + ... + 7812158.

It is an arithmetic number, because the mean of its divisors is an integer number (82733492140).

Almost surely, 2^{4442171865408} is an apocalyptic number.

4442171865408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4442171865408 is an abundant number, since it is smaller than the sum of its proper divisors (9457054814112).

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

4442171865408 is a wasteful number, since it uses less digits than its factorization.

4442171865408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15033387 (or 15033365 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 4442171865408 in words is "four trillion, four hundred forty-two billion, one hundred seventy-one million, eight hundred sixty-five thousand, four hundred eight".