442622477760 has 224 divisors, whose sum is σ = 1414222085952. Its totient is φ = 117287976960.

The previous prime is 442622477743. The next prime is 442622477761. The reversal of 442622477760 is 67774226244.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442622477761) 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 31 ways as a sum of consecutive naturals, for example, 107092654 + ... + 107096786.

Almost surely, 2^442622477760 is an apocalyptic number.

442622477760 is a gapful number since it is divisible by the number (40) 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 442622477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707111042976).

442622477760 is an abundant number, since it is smaller than the sum of its proper divisors (971599608192).

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

442622477760 is a wasteful number, since it uses less digits than its factorization.

442622477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 51.

The spelling of 442622477760 in words is "four hundred forty-two billion, six hundred twenty-two million, four hundred seventy-seven thousand, seven hundred sixty".