36042642801 has 45 divisors (see below), whose sum is σ = 57377106345. Its totient is φ = 21802259160.

The previous prime is 36042642791. The next prime is 36042642841. The reversal of 36042642801 is 10824624063.

The square root of 36042642801 is 189849.

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

36042642801 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 2 + 642 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 36042642801 - 2⁹ = 36042642289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36042642841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68914926 + ... + 68915448.

Almost surely, 2^36042642801 is an apocalyptic number.

36042642801 is the 189849-th square number.

36042642801 is the 94925-th centered octagonal number.

It is an amenable number.

36042642801 is a deficient number, since it is larger than the sum of its proper divisors (21334463544).

36042642801 is an frugal number, since it uses more digits than its factorization.

36042642801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 36042642801 by its sum of digits (36), we get a square (1297535140836 = 1139094²).

The spelling of 36042642801 in words is "thirty-six billion, forty-two million, six hundred forty-two thousand, eight hundred one".