442030812408064 has 216 divisors, whose sum is σ = 1027001145913344. Its totient is φ = 189083365785600.

The previous prime is 442030812408041. The next prime is 442030812408089. The reversal of 442030812408064 is 460804218030244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5408585569 + ... + 5408667295.

It is an arithmetic number, because the mean of its divisors is an integer number (4754634934784).

Almost surely, 2^{442030812408064} is an apocalyptic number.

442030812408064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442030812408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513500572956672).

442030812408064 is an abundant number, since it is smaller than the sum of its proper divisors (584970333505280).

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

442030812408064 is a wasteful number, since it uses less digits than its factorization.

442030812408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92053 (or 92028 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 46.

The spelling of 442030812408064 in words is "four hundred forty-two trillion, thirty billion, eight hundred twelve million, four hundred eight thousand, sixty-four".