4442227517952 has 360 divisors, whose sum is σ = 15791015081556. Its totient is φ = 1194547544064.

The previous prime is 4442227517929. The next prime is 4442227517957. The reversal of 4442227517952 is 2597157222444.

4442227517952 is a `hidden beast` number, since 4 + 442 + 2 + 27 + 5 + 179 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4285297449216 + 156930068736 = 2070096^2 + 396144^2 .

It is not an unprimeable number, because it can be changed into a prime (4442227517957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3259818 + ... + 4417110.

Almost surely, 2^{4442227517952} is an apocalyptic number.

4442227517952 is a gapful number since it is divisible by the number (42) 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 4442227517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895507540778).

4442227517952 is an abundant number, since it is smaller than the sum of its proper divisors (11348787563604).

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

4442227517952 is a wasteful number, since it uses less digits than its factorization.

4442227517952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157348 (or 1157322 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 4442227517952 in words is "four trillion, four hundred forty-two billion, two hundred twenty-seven million, five hundred seventeen thousand, nine hundred fifty-two".