4010041123011 has 60 divisors (see below), whose sum is σ = 7601801395320. Its totient is φ = 2083138223040.

The previous prime is 4010041123001. The next prime is 4010041123043. The reversal of 4010041123011 is 1103211400104.

4010041123011 is a `hidden beast` number, since 4 + 0 + 10 + 0 + 411 + 230 + 11 = 666.

It is not a de Polignac number, because 4010041123011 - 2¹³ = 4010041114819 is a prime.

It is a super-2 number, since 2×4010041123011² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4010041123001) 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 59 ways as a sum of consecutive naturals, for example, 45880906 + ... + 45968223.

It is an arithmetic number, because the mean of its divisors is an integer number (126696689922).

Almost surely, 2^{4010041123011} is an apocalyptic number.

4010041123011 is a deficient number, since it is larger than the sum of its proper divisors (3591760272309).

4010041123011 is a wasteful number, since it uses less digits than its factorization.

4010041123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91849166 (or 91849150 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 4010041123011 its reverse (1103211400104), we get a palindrome (5113252523115).

The spelling of 4010041123011 in words is "four trillion, ten billion, forty-one million, one hundred twenty-three thousand, eleven".