442516542301020 has 144 divisors (see below), whose sum is σ = 1361939591746944. Its totient is φ = 107275741372800.

The previous prime is 442516542301019. The next prime is 442516542301069. The reversal of 442516542301020 is 20103245615244.

It is a self number, because there is not a number n which added to its sum of digits gives 442516542301020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050071755 + ... + 1050493085.

It is an arithmetic number, because the mean of its divisors is an integer number (9457913831576).

Almost surely, 2^{442516542301020} is an apocalyptic number.

It is an amenable number.

442516542301020 is an abundant number, since it is smaller than the sum of its proper divisors (919423049445924).

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

442516542301020 is a wasteful number, since it uses less digits than its factorization.

442516542301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566032 (or 566019 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 442516542301020 its reverse (20103245615244), we get a palindrome (462619787916264).

The spelling of 442516542301020 in words is "four hundred forty-two trillion, five hundred sixteen billion, five hundred forty-two million, three hundred one thousand, twenty".