442987167744 has 360 divisors, whose sum is σ = 1422654538032. Its totient is φ = 131680174080.

The previous prime is 442987167673. The next prime is 442987167811. The reversal of 442987167744 is 447761789244.

It is a happy number.

442987167744 is a `hidden beast` number, since 4 + 429 + 8 + 7 + 167 + 7 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85964272 + ... + 85969424.

Almost surely, 2^442987167744 is an apocalyptic number.

442987167744 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 442987167744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711327269016).

442987167744 is an abundant number, since it is smaller than the sum of its proper divisors (979667370288).

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

442987167744 is a wasteful number, since it uses less digits than its factorization.

442987167744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251 (or 5222 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 442987167744 in words is "four hundred forty-two billion, nine hundred eighty-seven million, one hundred sixty-seven thousand, seven hundred forty-four".