642441356106 has 128 divisors (see below), whose sum is σ = 1438745414400. Its totient is φ = 189609984000.

The previous prime is 642441356071. The next prime is 642441356111. The reversal of 642441356106 is 601653144246.

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, 210704070 + ... + 210707118.

It is an arithmetic number, because the mean of its divisors is an integer number (11240198550).

Almost surely, 2^642441356106 is an apocalyptic number.

642441356106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642441356106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719372707200).

642441356106 is an abundant number, since it is smaller than the sum of its proper divisors (796304058294).

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

642441356106 is a wasteful number, since it uses less digits than its factorization.

642441356106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 642441356106 in words is "six hundred forty-two billion, four hundred forty-one million, three hundred fifty-six thousand, one hundred six".