33400100377107 has 24 divisors (see below), whose sum is σ = 48338541707040. Its totient is φ = 22223373394560.

The previous prime is 33400100377099. The next prime is 33400100377121. The reversal of 33400100377107 is 70177300100433.

It is a happy number.

It is not a de Polignac number, because 33400100377107 - 2³ = 33400100377099 is a prime.

It is a super-2 number, since 2×33400100377107² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33400100377507) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 218801533 + ... + 218954129.

It is an arithmetic number, because the mean of its divisors is an integer number (2014105904460).

Almost surely, 2^{33400100377107} is an apocalyptic number.

33400100377107 is a deficient number, since it is larger than the sum of its proper divisors (14938441329933).

33400100377107 is a wasteful number, since it uses less digits than its factorization.

33400100377107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199803 (or 199800 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 33400100377107 in words is "thirty-three trillion, four hundred billion, one hundred million, three hundred seventy-seven thousand, one hundred seven".