442000404422016 has 64 divisors (see below), whose sum is σ = 1280796626462400. Its totient is φ = 133939516490240.

The previous prime is 442000404421987. The next prime is 442000404422021. The reversal of 442000404422016 is 610224404000244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52320119406 + ... + 52320127853.

It is an arithmetic number, because the mean of its divisors is an integer number (20012447288475).

Almost surely, 2^{442000404422016} is an apocalyptic number.

It is an amenable number.

442000404422016 is an abundant number, since it is smaller than the sum of its proper divisors (838796222040384).

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

442000404422016 is a wasteful number, since it uses less digits than its factorization.

442000404422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104640247287 (or 104640247275 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 442000404422016 in words is "four hundred forty-two trillion, four hundred four million, four hundred twenty-two thousand, sixteen".