442342525202000 has 80 divisors (see below), whose sum is σ = 1069588964730000. Its totient is φ = 176936226163200.

The previous prime is 442342525201979. The next prime is 442342525202009. The reversal of 442342525202000 is 202525243244.

It can be written as a sum of positive squares in 8 ways, for example, as 1449702689296 + 440892822512704 = 1204036^2 + 20997448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442342525202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704784326 + ... + 705411674.

It is an arithmetic number, because the mean of its divisors is an integer number (13369862059125).

Almost surely, 2^{442342525202000} is an apocalyptic number.

442342525202000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442342525202000 is an abundant number, since it is smaller than the sum of its proper divisors (627246439528000).

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

442342525202000 is a wasteful number, since it uses less digits than its factorization.

442342525202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979921 (or 979905 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The spelling of 442342525202000 in words is "four hundred forty-two trillion, three hundred forty-two billion, five hundred twenty-five million, two hundred two thousand".