442181483520 has 176 divisors, whose sum is σ = 1616331637248. Its totient is φ = 101070028800.

The previous prime is 442181483507. The next prime is 442181483531. The reversal of 442181483520 is 25384181244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1948756 + ... + 2163795.

Almost surely, 2^442181483520 is an apocalyptic number.

442181483520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442181483520 is an abundant number, since it is smaller than the sum of its proper divisors (1174150153728).

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

442181483520 is a wasteful number, since it uses less digits than its factorization.

442181483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112586 (or 4112568 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 442181483520 in words is "four hundred forty-two billion, one hundred eighty-one million, four hundred eighty-three thousand, five hundred twenty".