11074140000 has 1440 divisors, whose sum is σ = 53054217216. Its totient is φ = 2119680000.

The previous prime is 11074139939. The next prime is 11074140001. The reversal of 11074140000 is 4147011.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11074140001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 235619977 + ... + 235620023.

Almost surely, 2^11074140000 is an apocalyptic number.

11074140000 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 11074140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26527108608).

11074140000 is an abundant number, since it is smaller than the sum of its proper divisors (41980077216).

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

11074140000 is a wasteful number, since it uses less digits than its factorization.

11074140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 11074140000 its reverse (4147011), we get a palindrome (11078287011).

The spelling of 11074140000 in words is "eleven billion, seventy-four million, one hundred forty thousand".