442165141040200 has 24 divisors (see below), whose sum is σ = 1028033952918930. Its totient is φ = 176866056416000.

The previous prime is 442165141040177. The next prime is 442165141040269. The reversal of 442165141040200 is 2040141561244.

It can be written as a sum of positive squares in 3 ways, for example, as 165501998398564 + 276663142641636 = 12864758^2 + 16633194^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1105412852401 + ... + 1105412852800.

Almost surely, 2^{442165141040200} is an apocalyptic number.

442165141040200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442165141040200 is an abundant number, since it is smaller than the sum of its proper divisors (585868811878730).

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

442165141040200 is a wasteful number, since it uses less digits than its factorization.

442165141040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210825705217 (or 2210825705208 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 442165141040200 in words is "four hundred forty-two trillion, one hundred sixty-five billion, one hundred forty-one million, forty thousand, two hundred".