442122230400 has 96 divisors (see below), whose sum is σ = 1456240128000. Its totient is φ = 117899258880.

The previous prime is 442122230371. The next prime is 442122230419. The reversal of 442122230400 is 4032221244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×442122230400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 23017600 + ... + 23036799.

It is an arithmetic number, because the mean of its divisors is an integer number (15169168000).

Almost surely, 2^442122230400 is an apocalyptic number.

442122230400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442122230400 is an abundant number, since it is smaller than the sum of its proper divisors (1014117897600).

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

442122230400 is a wasteful number, since it uses less digits than its factorization.

442122230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46054426 (or 46054409 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 442122230400 its reverse (4032221244), we get a palindrome (446154451644).

The spelling of 442122230400 in words is "four hundred forty-two billion, one hundred twenty-two million, two hundred thirty thousand, four hundred".