442121120 has 72 divisors (see below), whose sum is σ = 1215065124. Its totient is φ = 151581696.

The previous prime is 442121083. The next prime is 442121143. The reversal of 442121120 is 21121244.

It can be written as a sum of positive squares in 2 ways, for example, as 432806416 + 9314704 = 20804^2 + 3052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20357 + ... + 36036.

Almost surely, 2^442121120 is an apocalyptic number.

442121120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442121120 is an abundant number, since it is smaller than the sum of its proper divisors (772944004).

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

442121120 is a wasteful number, since it uses less digits than its factorization.

442121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56422 (or 56407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 442121120 is about 21026.6763897674. The cubic root of 442121120 is about 761.8107332077.

Adding to 442121120 its reverse (21121244), we get a palindrome (463242364).

The spelling of 442121120 in words is "four hundred forty-two million, one hundred twenty-one thousand, one hundred twenty".