42433166689 has 8 divisors (see below), whose sum is σ = 42473346440. Its totient is φ = 42393010176.

The previous prime is 42433166683. The next prime is 42433166717. The reversal of 42433166689 is 98666133424.

42433166689 = T₁ + T₂ + ... + T₆₃₃₇.

42433166689 is a nontrivial binomial coefficient, being equal to C(6339, 3).

It can be written as a sum of positive squares in 4 ways, for example, as 575280225 + 41857886464 = 23985^2 + 204592^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(42433166689) divides (42433166689-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 42433166689 - 2¹³ = 42433158497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42433166683) by changing a digit.

It is the 6337-th tetrahedral 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 7 ways as a sum of consecutive naturals, for example, 6692929 + ... + 6699265.

It is an arithmetic number, because the mean of its divisors is an integer number (5309168305).

Almost surely, 2^42433166689 is an apocalyptic number.

It is an amenable number.

42433166689 is a deficient number, since it is larger than the sum of its proper divisors (40179751).

42433166689 is a wasteful number, since it uses less digits than its factorization.

42433166689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619.

The product of its digits is 4478976, while the sum is 52.

The spelling of 42433166689 in words is "forty-two billion, four hundred thirty-three million, one hundred sixty-six thousand, six hundred eighty-nine".