442169326656 has 280 divisors, whose sum is σ = 1385707546080. Its totient is φ = 139025922048.

The previous prime is 442169326649. The next prime is 442169326667. The reversal of 442169326656 is 656623961244.

442169326656 is a `hidden beast` number, since 44 + 216 + 9 + 326 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22939935 + ... + 22959201.

Almost surely, 2^442169326656 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 442169326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692853773040).

442169326656 is an abundant number, since it is smaller than the sum of its proper divisors (943538219424).

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

442169326656 is a wasteful number, since it uses less digits than its factorization.

442169326656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19543 (or 19524 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 442169326656 in words is "four hundred forty-two billion, one hundred sixty-nine million, three hundred twenty-six thousand, six hundred fifty-six".