42168211801 has 27 divisors (see below), whose sum is σ = 44740065591. Its totient is φ = 39742424064.

The previous prime is 42168211793. The next prime is 42168211829. The reversal of 42168211801 is 10811286124.

It is a happy number.

The square root of 42168211801 is 205349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 19349088201 + 22819123600 = 139101^2 + 151060^2 .

It is not a de Polignac number, because 42168211801 - 2³ = 42168211793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42168211301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 434723785 + ... + 434723881.

Almost surely, 2^42168211801 is an apocalyptic number.

42168211801 is the 205349-th square number.

42168211801 is the 102675-th centered octagonal number.

It is an amenable number.

42168211801 is a deficient number, since it is larger than the sum of its proper divisors (2571853790).

42168211801 is an frugal number, since it uses more digits than its factorization.

42168211801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

Adding to 42168211801 its reverse (10811286124), we get a palindrome (52979497925).

The spelling of 42168211801 in words is "forty-two billion, one hundred sixty-eight million, two hundred eleven thousand, eight hundred one".