42442432221210 has 256 divisors, whose sum is σ = 122601665691648. Its totient is φ = 9202618656000.

The previous prime is 42442432221197. The next prime is 42442432221239. The reversal of 42442432221210 is 1212223424424.

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 127 ways as a sum of consecutive naturals, for example, 42461685 + ... + 43449735.

It is an arithmetic number, because the mean of its divisors is an integer number (478912756608).

Almost surely, 2^{42442432221210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42442432221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61300832845824).

42442432221210 is an abundant number, since it is smaller than the sum of its proper divisors (80159233470438).

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

42442432221210 is a wasteful number, since it uses less digits than its factorization.

42442432221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988249.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 42442432221210 its reverse (1212223424424), we get a palindrome (43654655645634).

The spelling of 42442432221210 in words is "forty-two trillion, four hundred forty-two billion, four hundred thirty-two million, two hundred twenty-one thousand, two hundred ten".