442433721232140 has 192 divisors, whose sum is σ = 1359163810368000. Its totient is φ = 106643334481920.

The previous prime is 442433721232121. The next prime is 442433721232193. The reversal of 442433721232140 is 41232127334244.

It is a junction number, because it is equal to n+sod(n) for n = 442433721232092 and 442433721232101.

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 63 ways as a sum of consecutive naturals, for example, 905771496 + ... + 906259824.

It is an arithmetic number, because the mean of its divisors is an integer number (7078978179000).

Almost surely, 2^{442433721232140} 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 442433721232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679581905184000).

442433721232140 is an abundant number, since it is smaller than the sum of its proper divisors (916730089135860).

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

442433721232140 is a wasteful number, since it uses less digits than its factorization.

442433721232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496200 (or 496198 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

Adding to 442433721232140 its reverse (41232127334244), we get a palindrome (483665848566384).

The spelling of 442433721232140 in words is "four hundred forty-two trillion, four hundred thirty-three billion, seven hundred twenty-one million, two hundred thirty-two thousand, one hundred forty".