442586014416 has 640 divisors, whose sum is σ = 1687891968000. Its totient is φ = 107794520064.

The previous prime is 442586014411. The next prime is 442586014469. The reversal of 442586014416 is 614410685244.

442586014416 is a `hidden beast` number, since 4 + 4 + 25 + 8 + 601 + 4 + 4 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442586014411) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 26212665 + ... + 26229543.

It is an arithmetic number, because the mean of its divisors is an integer number (2637331200).

Almost surely, 2^442586014416 is an apocalyptic number.

442586014416 is a gapful number since it is divisible by the number (46) 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 442586014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843945984000).

442586014416 is an abundant number, since it is smaller than the sum of its proper divisors (1245305953584).

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

442586014416 is a wasteful number, since it uses less digits than its factorization.

442586014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968 (or 16956 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 442586014416 in words is "four hundred forty-two billion, five hundred eighty-six million, fourteen thousand, four hundred sixteen".