442120702905 has 48 divisors (see below), whose sum is σ = 887817640320. Its totient is φ = 199343649024.

The previous prime is 442120702897. The next prime is 442120702909. The reversal of 442120702905 is 509207021244.

442120702905 is a `hidden beast` number, since 4 + 421 + 207 + 0 + 29 + 0 + 5 = 666.

It is not a de Polignac number, because 442120702905 - 2³ = 442120702897 is a prime.

It is a super-2 number, since 2×442120702905² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442120702905.

It is not an unprimeable number, because it can be changed into a prime (442120702909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9590415 + ... + 9636404.

It is an arithmetic number, because the mean of its divisors is an integer number (18496200840).

Almost surely, 2^442120702905 is an apocalyptic number.

442120702905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442120702905 is an abundant number, since it is smaller than the sum of its proper divisors (445696937415).

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

442120702905 is a wasteful number, since it uses less digits than its factorization.

442120702905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19226910 (or 19226907 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 442120702905 in words is "four hundred forty-two billion, one hundred twenty million, seven hundred two thousand, nine hundred five".