42011401123233 has 64 divisors (see below), whose sum is σ = 65786658336000. Its totient is φ = 26423569363968.

The previous prime is 42011401123187. The next prime is 42011401123253. The reversal of 42011401123233 is 33232110411024.

42011401123233 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 1 + 401 + 1 + 23 + 233 = 666.

42011401123233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42011401123233 - 2²² = 42011396928929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42011401123197 and 42011401123206.

It is not an unprimeable number, because it can be changed into a prime (42011401123253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206272473 + ... + 206476041.

It is an arithmetic number, because the mean of its divisors is an integer number (1027916536500).

Almost surely, 2^{42011401123233} is an apocalyptic number.

It is an amenable number.

42011401123233 is a deficient number, since it is larger than the sum of its proper divisors (23775257212767).

42011401123233 is a wasteful number, since it uses less digits than its factorization.

42011401123233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205263 (or 205257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 42011401123233 its reverse (33232110411024), we get a palindrome (75243511534257).

The spelling of 42011401123233 in words is "forty-two trillion, eleven billion, four hundred one million, one hundred twenty-three thousand, two hundred thirty-three".