42911536801 has 27 divisors (see below), whose sum is σ = 50589285753. Its totient is φ = 36292855200.

The previous prime is 42911536721. The next prime is 42911536897. The reversal of 42911536801 is 10863511924.

The square root of 42911536801 is 207151.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35338360225 + 7573176576 = 187985^2 + 87024^2 .

It is not a de Polignac number, because 42911536801 - 2¹⁵ = 42911504033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42911536301) 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, 146455611 + ... + 146455903.

Almost surely, 2^42911536801 is an apocalyptic number.

42911536801 is the 207151-st square number.

42911536801 is the 103576-th centered octagonal number.

It is an amenable number.

42911536801 is a deficient number, since it is larger than the sum of its proper divisors (7677748952).

42911536801 is an frugal number, since it uses more digits than its factorization.

42911536801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 42911536801 in words is "forty-two billion, nine hundred eleven million, five hundred thirty-six thousand, eight hundred one".