11000411004016 has 40 divisors (see below), whose sum is σ = 24368387868000. Its totient is φ = 4712461549824.

The previous prime is 11000411004007. The next prime is 11000411004041. The reversal of 11000411004016 is 61040011400011.

It is a junction number, because it is equal to n+sod(n) for n = 11000411003984 and 11000411004002.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20571391 + ... + 21099358.

It is an arithmetic number, because the mean of its divisors is an integer number (609209696700).

Almost surely, 2^{11000411004016} is an apocalyptic number.

11000411004016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11000411004016 is an abundant number, since it is smaller than the sum of its proper divisors (13367976863984).

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

11000411004016 is a wasteful number, since it uses less digits than its factorization.

11000411004016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41673121 (or 41673115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 11000411004016 its reverse (61040011400011), we get a palindrome (72040422404027).

The spelling of 11000411004016 in words is "eleven trillion, four hundred eleven million, four thousand, sixteen".