442121323121244 has 432 divisors, whose sum is σ = 1223560337126400. Its totient is φ = 134540975761920.

The previous prime is 442121323121227. The next prime is 442121323121263.

442121323121244 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 213 + 2 + 312 + 124 + 4 = 666.

442121323121244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 442121323121199 and 442121323121208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290296337467 + ... + 290296338989.

It is an arithmetic number, because the mean of its divisors is an integer number (2832315595200).

Almost surely, 2^{442121323121244} 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 442121323121244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611780168563200).

442121323121244 is an abundant number, since it is smaller than the sum of its proper divisors (781439014005156).

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

442121323121244 is a wasteful number, since it uses less digits than its factorization.

442121323121244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2864 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 442121323121244 in words is "four hundred forty-two trillion, one hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred forty-four".