442571045388000 has 96 divisors (see below), whose sum is σ = 1449862744730400. Its totient is φ = 118018945433600.

The previous prime is 442571045387993. The next prime is 442571045388023. The reversal of 442571045388000 is 883540175244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 18440448225 + ... + 18440472224.

It is an arithmetic number, because the mean of its divisors is an integer number (15102736924275).

Almost surely, 2^{442571045388000} is an apocalyptic number.

442571045388000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442571045388000 is an abundant number, since it is smaller than the sum of its proper divisors (1007291699342400).

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

442571045388000 is a wasteful number, since it uses less digits than its factorization.

442571045388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36880920477 (or 36880920459 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 442571045388000 in words is "four hundred forty-two trillion, five hundred seventy-one billion, forty-five million, three hundred eighty-eight thousand".