442043525500122 has 192 divisors, whose sum is σ = 1136779922073600. Its totient is φ = 113515945159680.

The previous prime is 442043525500099. The next prime is 442043525500141. The reversal of 442043525500122 is 221005525340244.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76990279 + ... + 82532357.

It is an arithmetic number, because the mean of its divisors is an integer number (5920728760800).

Almost surely, 2^{442043525500122} is an apocalyptic number.

442043525500122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442043525500122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568389961036800).

442043525500122 is an abundant number, since it is smaller than the sum of its proper divisors (694736396573478).

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

442043525500122 is a wasteful number, since it uses less digits than its factorization.

442043525500122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542661 (or 5542654 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 442043525500122 in words is "four hundred forty-two trillion, forty-three billion, five hundred twenty-five million, five hundred thousand, one hundred twenty-two".