442102121201244 has 192 divisors, whose sum is σ = 1244910942277632. Its totient is φ = 119460933734400.

The previous prime is 442102121201239. The next prime is 442102121201287.

442102121201244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28131832 + ... + 40934144.

It is an arithmetic number, because the mean of its divisors is an integer number (6483911157696).

Almost surely, 2^{442102121201244} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442102121201244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622455471138816).

442102121201244 is an abundant number, since it is smaller than the sum of its proper divisors (802808821076388).

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

442102121201244 is a wasteful number, since it uses less digits than its factorization.

442102121201244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12802676 (or 12802674 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 442102121201244 in words is "four hundred forty-two trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, two hundred forty-four".