442420151124 has 192 divisors, whose sum is σ = 1281837312000. Its totient is φ = 118302137856.

The previous prime is 442420151101. The next prime is 442420151137. The reversal of 442420151124 is 421151024244.

It is a junction number, because it is equal to n+sod(n) for n = 442420151091 and 442420151100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12507327 + ... + 12542649.

It is an arithmetic number, because the mean of its divisors is an integer number (6676236000).

Almost surely, 2^442420151124 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 442420151124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640918656000).

442420151124 is an abundant number, since it is smaller than the sum of its proper divisors (839417160876).

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

442420151124 is a wasteful number, since it uses less digits than its factorization.

442420151124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35547 (or 35531 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 442420151124 its reverse (421151024244), we get a palindrome (863571175368).

The spelling of 442420151124 in words is "four hundred forty-two billion, four hundred twenty million, one hundred fifty-one thousand, one hundred twenty-four".