442843364076960 has 1152 divisors, whose sum is σ = 1870229976330240. Its totient is φ = 86955901132800.

The previous prime is 442843364076959. The next prime is 442843364076977. The reversal of 442843364076960 is 69670463348244.

It is a super-2 number, since 2×442843364076960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 442843364076891 and 442843364076900.

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 191 ways as a sum of consecutive naturals, for example, 352007455 + ... + 353263265.

It is an arithmetic number, because the mean of its divisors is an integer number (1623463521120).

Almost surely, 2^{442843364076960} is an apocalyptic number.

442843364076960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442843364076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935114988165120).

442843364076960 is an abundant number, since it is smaller than the sum of its proper divisors (1427386612253280).

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

442843364076960 is a wasteful number, since it uses less digits than its factorization.

442843364076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255930 (or 1255915 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 66.

The spelling of 442843364076960 in words is "four hundred forty-two trillion, eight hundred forty-three billion, three hundred sixty-four million, seventy-six thousand, nine hundred sixty".