442222301848320 has 2160 divisors, whose sum is σ = 1868924678167008. Its totient is φ = 99539807109120.

The previous prime is 442222301848291. The next prime is 442222301848357. The reversal of 442222301848320 is 23848103222244.

442222301848320 is a `hidden beast` number, since 4 + 4 + 22 + 223 + 0 + 1 + 84 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103978907314 + ... + 103978911566.

Almost surely, 2^{442222301848320} is an apocalyptic number.

442222301848320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442222301848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934462339083504).

442222301848320 is an abundant number, since it is smaller than the sum of its proper divisors (1426702376318688).

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

442222301848320 is a wasteful number, since it uses less digits than its factorization.

442222301848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 442222301848320 in words is "four hundred forty-two trillion, two hundred twenty-two billion, three hundred one million, eight hundred forty-eight thousand, three hundred twenty".