442401252705 has 12 divisors (see below), whose sum is σ = 766828838100. Its totient is φ = 235947334752.

The previous prime is 442401252677. The next prime is 442401252707. The reversal of 442401252705 is 507252104244.

It can be written as a sum of positive squares in 2 ways, for example, as 114196009041 + 328205243664 = 337929^2 + 572892^2 .

It is not a de Polignac number, because 442401252705 - 2¹⁸ = 442400990561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442401252705.

It is not an unprimeable number, because it can be changed into a prime (442401252707) by changing a digit.

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, 4915569430 + ... + 4915569519.

It is an arithmetic number, because the mean of its divisors is an integer number (63902403175).

Almost surely, 2^442401252705 is an apocalyptic number.

442401252705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442401252705 is a deficient number, since it is larger than the sum of its proper divisors (324427585395).

442401252705 is a wasteful number, since it uses less digits than its factorization.

442401252705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831138960 (or 9831138957 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 442401252705 its reverse (507252104244), we get a palindrome (949653356949).

The spelling of 442401252705 in words is "four hundred forty-two billion, four hundred one million, two hundred fifty-two thousand, seven hundred five".