4442010120 has 96 divisors (see below), whose sum is σ = 14447136600. Its totient is φ = 1183666176.

The previous prime is 4442010103. The next prime is 4442010149. The reversal of 4442010120 is 210102444.

4442010120 is a `hidden beast` number, since 444 + 201 + 0 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2889492516 + 1552517604 = 53754^2 + 39402^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4442010093 and 4442010102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597144 + ... + 604536.

Almost surely, 2^4442010120 is an apocalyptic number.

4442010120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442010120 is an abundant number, since it is smaller than the sum of its proper divisors (10005126480).

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

4442010120 is a wasteful number, since it uses less digits than its factorization.

4442010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4442010120 is about 66648.4067326444. The cubic root of 4442010120 is about 1643.8411500486.

Adding to 4442010120 its reverse (210102444), we get a palindrome (4652112564).

The spelling of 4442010120 in words is "four billion, four hundred forty-two million, ten thousand, one hundred twenty".