442991096510144 has 336 divisors, whose sum is σ = 1140068662200000. Its totient is φ = 170512706617344.

The previous prime is 442991096510141. The next prime is 442991096510173. The reversal of 442991096510144 is 441015690199244.

It is a super-2 number, since 2×442991096510144² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442991096510141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135652232 + ... + 138879480.

Almost surely, 2^{442991096510144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442991096510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570034331100000).

442991096510144 is an abundant number, since it is smaller than the sum of its proper divisors (697077565689856).

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

442991096510144 is a wasteful number, since it uses less digits than its factorization.

442991096510144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227345 (or 3227308 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 59.

The spelling of 442991096510144 in words is "four hundred forty-two trillion, nine hundred ninety-one billion, ninety-six million, five hundred ten thousand, one hundred forty-four".