442434102020 has 48 divisors (see below), whose sum is σ = 943696564608. Its totient is φ = 174199576320.

The previous prime is 442434101959. The next prime is 442434102053. The reversal of 442434102020 is 20201434244.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645169 + ... + 1895111.

It is an arithmetic number, because the mean of its divisors is an integer number (19660345096).

Almost surely, 2^442434102020 is an apocalyptic number.

It is an amenable number.

442434102020 is an abundant number, since it is smaller than the sum of its proper divisors (501262462588).

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

442434102020 is a wasteful number, since it uses less digits than its factorization.

442434102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251340 (or 251338 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 442434102020 its reverse (20201434244), we get a palindrome (462635536264).

The spelling of 442434102020 in words is "four hundred forty-two billion, four hundred thirty-four million, one hundred two thousand, twenty".