4082173536800 has 36 divisors (see below), whose sum is σ = 9965606148666. Its totient is φ = 1632869414400.

The previous prime is 4082173536797. The next prime is 4082173536803. The reversal of 4082173536800 is 86353712804.

It is an interprime number because it is at equal distance from previous prime (4082173536797) and next prime (4082173536803).

It can be written as a sum of positive squares in 3 ways, for example, as 3858380204176 + 223793332624 = 1964276^2 + 473068^2 .

It is not an unprimeable number, because it can be changed into a prime (4082173536803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2551357661 + ... + 2551359260.

Almost surely, 2^{4082173536800} is an apocalyptic number.

4082173536800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4082173536800 is an abundant number, since it is smaller than the sum of its proper divisors (5883432611866).

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

4082173536800 is a wasteful number, since it uses less digits than its factorization.

4082173536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102716941 (or 5102716928 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 4082173536800 in words is "four trillion, eighty-two billion, one hundred seventy-three million, five hundred thirty-six thousand, eight hundred".