442251123733221 has 16 divisors (see below), whose sum is σ = 658963980376128. Its totient is φ = 261493643004800.

The previous prime is 442251123733217. The next prime is 442251123733231. The reversal of 442251123733221 is 122337321152244.

It is a cyclic number.

It is not a de Polignac number, because 442251123733221 - 2² = 442251123733217 is a prime.

It is a super-3 number, since 3×442251123733221³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442251123733231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163433525526 + ... + 163433528231.

It is an arithmetic number, because the mean of its divisors is an integer number (41185248773508).

Almost surely, 2^{442251123733221} is an apocalyptic number.

442251123733221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

442251123733221 is a deficient number, since it is larger than the sum of its proper divisors (216712856642907).

442251123733221 is a wasteful number, since it uses less digits than its factorization.

442251123733221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326867053812.

The product of its digits is 483840, while the sum is 42.

Adding to 442251123733221 its reverse (122337321152244), we get a palindrome (564588444885465).

The spelling of 442251123733221 in words is "four hundred forty-two trillion, two hundred fifty-one billion, one hundred twenty-three million, seven hundred thirty-three thousand, two hundred twenty-one".