11014666040 has 64 divisors (see below), whose sum is σ = 28366752960. Its totient is φ = 3770680320.

The previous prime is 11014665971. The next prime is 11014666043. The reversal of 11014666040 is 4066641011.

It is a junction number, because it is equal to n+sod(n) for n = 11014665994 and 11014666012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014666043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155324 + ... + 214836.

It is an arithmetic number, because the mean of its divisors is an integer number (443230515).

Almost surely, 2^11014666040 is an apocalyptic number.

11014666040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183376480).

11014666040 is an abundant number, since it is smaller than the sum of its proper divisors (17352086920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11014666040 is a wasteful number, since it uses less digits than its factorization.

11014666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60192 (or 60188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 11014666040 in words is "eleven billion, fourteen million, six hundred sixty-six thousand, forty".