442739446989840 has 4320 divisors, whose sum is σ = 2230526587161600. Its totient is φ = 80445409873920.

The previous prime is 442739446989817. The next prime is 442739446989941. The reversal of 442739446989840 is 48989644937244.

442739446989840 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 3 + 9 + 446 + 98 + 9 + 84 + 0 = 666.

It is a super-3 number, since 3×442739446989840³ (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 442739446989840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 33645365181 + ... + 33645378339.

It is an arithmetic number, because the mean of its divisors is an integer number (516325598880).

Almost surely, 2^{442739446989840} is an apocalyptic number.

442739446989840 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 442739446989840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115263293580800).

442739446989840 is an abundant number, since it is smaller than the sum of its proper divisors (1787787140171760).

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

442739446989840 is a wasteful number, since it uses less digits than its factorization.

442739446989840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13257 (or 13219 counting only the distinct ones).

The product of its (nonzero) digits is 12039487488, while the sum is 81.

The spelling of 442739446989840 in words is "four hundred forty-two trillion, seven hundred thirty-nine billion, four hundred forty-six million, nine hundred eighty-nine thousand, eight hundred forty".