442311042240 has 168 divisors, whose sum is σ = 1587512261088. Its totient is φ = 112821350400.

The previous prime is 442311042227. The next prime is 442311042281. The reversal of 442311042240 is 42240113244.

442311042240 is a `hidden beast` number, since 4 + 4 + 231 + 1 + 0 + 422 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3272461 + ... + 3404940.

Almost surely, 2^442311042240 is an apocalyptic number.

442311042240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442311042240 is an abundant number, since it is smaller than the sum of its proper divisors (1145201218848).

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

442311042240 is a wasteful number, since it uses less digits than its factorization.

442311042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677447 (or 6677434 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442311042240 its reverse (42240113244), we get a palindrome (484551155484).

The spelling of 442311042240 in words is "four hundred forty-two billion, three hundred eleven million, forty-two thousand, two hundred forty".