11334004110 has 256 divisors, whose sum is σ = 35648363520. Its totient is φ = 2526266880.

The previous prime is 11334004093. The next prime is 11334004117. The reversal of 11334004110 is 1140043311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334004117) 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, 14401137 + ... + 14401923.

It is an arithmetic number, because the mean of its divisors is an integer number (139251420).

Almost surely, 2^11334004110 is an apocalyptic number.

11334004110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334004110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824181760).

11334004110 is an abundant number, since it is smaller than the sum of its proper divisors (24314359410).

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

11334004110 is a wasteful number, since it uses less digits than its factorization.

11334004110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11334004110 its reverse (1140043311), we get a palindrome (12474047421).

The spelling of 11334004110 in words is "eleven billion, three hundred thirty-four million, four thousand, one hundred ten".