33400105011 has 96 divisors (see below), whose sum is σ = 61670568960. Its totient is φ = 16942286592.

The previous prime is 33400105007. The next prime is 33400105021. The reversal of 33400105011 is 11050100433.

It is not a de Polignac number, because 33400105011 - 2² = 33400105007 is a prime.

It is a super-2 number, since 2×33400105011² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33400105001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6243840 + ... + 6249186.

It is an arithmetic number, because the mean of its divisors is an integer number (642401760).

Almost surely, 2^33400105011 is an apocalyptic number.

33400105011 is a deficient number, since it is larger than the sum of its proper divisors (28270463949).

33400105011 is a wasteful number, since it uses less digits than its factorization.

33400105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 33400105011 its reverse (11050100433), we get a palindrome (44450205444).

The spelling of 33400105011 in words is "thirty-three billion, four hundred million, one hundred five thousand, eleven".