10334040442011 has 128 divisors (see below), whose sum is σ = 20046550809600. Its totient is φ = 5154826106880.

The previous prime is 10334040442003. The next prime is 10334040442057. The reversal of 10334040442011 is 11024404043301.

10334040442011 is a `hidden beast` number, since 10 + 3 + 3 + 40 + 404 + 4 + 201 + 1 = 666.

It is not a de Polignac number, because 10334040442011 - 2³ = 10334040442003 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10334040442081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2896116 + ... + 5390321.

It is an arithmetic number, because the mean of its divisors is an integer number (156613678200).

Almost surely, 2^{10334040442011} is an apocalyptic number.

10334040442011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10334040442011 is a deficient number, since it is larger than the sum of its proper divisors (9712510367589).

10334040442011 is a wasteful number, since it uses less digits than its factorization.

10334040442011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286506 (or 8286500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10334040442011 its reverse (11024404043301), we get a palindrome (21358444485312).

The spelling of 10334040442011 in words is "ten trillion, three hundred thirty-four billion, forty million, four hundred forty-two thousand, eleven".