442286428356864 has 3456 divisors, whose sum is σ = 1785840589209600. Its totient is φ = 106695498792960.

The previous prime is 442286428356853. The next prime is 442286428356907. The reversal of 442286428356864 is 468653824682244.

442286428356864 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 86 + 428 + 3 + 5 + 68 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 442286428356792 and 442286428356801.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 279397616617 + ... + 279397618199.

It is an arithmetic number, because the mean of its divisors is an integer number (516736281600).

Almost surely, 2^{442286428356864} 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 442286428356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892920294604800).

442286428356864 is an abundant number, since it is smaller than the sum of its proper divisors (1343554160852736).

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

442286428356864 is a wasteful number, since it uses less digits than its factorization.

442286428356864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1751 counting only the distinct ones).

The product of its digits is 3397386240, while the sum is 72.

The spelling of 442286428356864 in words is "four hundred forty-two trillion, two hundred eighty-six billion, four hundred twenty-eight million, three hundred fifty-six thousand, eight hundred sixty-four".