1100414140011 has 24 divisors (see below), whose sum is σ = 1643257178784. Its totient is φ = 709055078400.

The previous prime is 1100414139953. The next prime is 1100414140037.

1100414140011 is a `hidden beast` number, since 1 + 100 + 414 + 140 + 0 + 11 = 666.

1100414140011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1100414140011 - 2¹⁹ = 1100413615723 is a prime.

It is a super-2 number, since 2×1100414140011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100414145011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10891926 + ... + 10992491.

It is an arithmetic number, because the mean of its divisors is an integer number (68469049116).

Almost surely, 2^{1100414140011} is an apocalyptic number.

1100414140011 is a deficient number, since it is larger than the sum of its proper divisors (542843038773).

1100414140011 is a wasteful number, since it uses less digits than its factorization.

1100414140011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21884611 (or 21884608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 1100414140011 in words is "one trillion, one hundred billion, four hundred fourteen million, one hundred forty thousand, eleven".