33033440401 has 16 divisors (see below), whose sum is σ = 37679333328. Its totient is φ = 28689408000.

The previous prime is 33033440389. The next prime is 33033440441. The reversal of 33033440401 is 10404433033.

It can be written as a sum of positive squares in 8 ways, for example, as 14400 + 33033426001 = 120^2 + 181751^2 .

It is a cyclic number.

It is not a de Polignac number, because 33033440401 - 2⁷ = 33033440273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33033440441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706881 + ... + 752161.

It is an arithmetic number, because the mean of its divisors is an integer number (2354958333).

Almost surely, 2^33033440401 is an apocalyptic number.

It is an amenable number.

33033440401 is a deficient number, since it is larger than the sum of its proper divisors (4645892927).

33033440401 is a wasteful number, since it uses less digits than its factorization.

33033440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48612.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 33033440401 its reverse (10404433033), we get a palindrome (43437873434).

The spelling of 33033440401 in words is "thirty-three billion, thirty-three million, four hundred forty thousand, four hundred one".