442121222121244 has 48 divisors (see below), whose sum is σ = 781110216577152. Its totient is φ = 218958968696832.

The previous prime is 442121222121157. The next prime is 442121222121253.

442121222121244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442121222121244² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165541314 + ... + 168190870.

It is an arithmetic number, because the mean of its divisors is an integer number (16273129512024).

Almost surely, 2^{442121222121244} is an apocalyptic number.

It is an amenable number.

442121222121244 is a deficient number, since it is larger than the sum of its proper divisors (338988994455908).

442121222121244 is a wasteful number, since it uses less digits than its factorization.

442121222121244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650702 (or 2650700 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The spelling of 442121222121244 in words is "four hundred forty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred forty-four".