442101101101244 has 96 divisors (see below), whose sum is σ = 858101203814400. Its totient is φ = 198034537259520.

The previous prime is 442101101101241. The next prime is 442101101101273.

442101101101244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442101101101241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3705081104 + ... + 3705200424.

It is an arithmetic number, because the mean of its divisors is an integer number (8938554206400).

Almost surely, 2^{442101101101244} is an apocalyptic number.

It is an amenable number.

442101101101244 is a deficient number, since it is larger than the sum of its proper divisors (416000102713156).

442101101101244 is a wasteful number, since it uses less digits than its factorization.

442101101101244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134763 (or 134761 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 44210110 and 1101244, that added together give a palindrome (45311354).

The spelling of 442101101101244 in words is "four hundred forty-two trillion, one hundred one billion, one hundred one million, one hundred one thousand, two hundred forty-four".