442881146880 has 648 divisors, whose sum is σ = 1609763540112. Its totient is φ = 116955021312.

The previous prime is 442881146849. The next prime is 442881146887. The reversal of 442881146880 is 88641188244.

442881146880 is a `hidden beast` number, since 4 + 4 + 28 + 81 + 1 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×442881146880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442881146887) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4299816909 + ... + 4299817011.

It is an arithmetic number, because the mean of its divisors is an integer number (2484202994).

Almost surely, 2^442881146880 is an apocalyptic number.

442881146880 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 442881146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804881770056).

442881146880 is an abundant number, since it is smaller than the sum of its proper divisors (1166882393232).

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

442881146880 is an frugal number, since it uses more digits than its factorization.

442881146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 442881146880 in words is "four hundred forty-two billion, eight hundred eighty-one million, one hundred forty-six thousand, eight hundred eighty".