34012001404233 has 24 divisors (see below), whose sum is σ = 49519776384000. Its totient is φ = 22494086191584.

The previous prime is 34012001404223. The next prime is 34012001404327. The reversal of 34012001404233 is 33240410021043.

34012001404233 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 20 + 0 + 1 + 404 + 233 = 666.

It is not a de Polignac number, because 34012001404233 - 2⁴ = 34012001404217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34012001404197 and 34012001404206.

It is not an unprimeable number, because it can be changed into a prime (34012001404223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11307718 + ... + 13996016.

It is an arithmetic number, because the mean of its divisors is an integer number (2063324016000).

Almost surely, 2^{34012001404233} is an apocalyptic number.

It is an amenable number.

34012001404233 is a deficient number, since it is larger than the sum of its proper divisors (15507774979767).

34012001404233 is a wasteful number, since it uses less digits than its factorization.

34012001404233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699501 (or 2699498 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34012001404233 its reverse (33240410021043), we get a palindrome (67252411425276).

The spelling of 34012001404233 in words is "thirty-four trillion, twelve billion, one million, four hundred four thousand, two hundred thirty-three".