11034100240 has 80 divisors (see below), whose sum is σ = 27265241520. Its totient is φ = 4138434560.

The previous prime is 11034100237. The next prime is 11034100241. The reversal of 11034100240 is 4200143011.

It can be written as a sum of positive squares in 8 ways, for example, as 7420176 + 11026680064 = 2724^2 + 105008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11034100241) 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, 350760 + ... + 380920.

It is an arithmetic number, because the mean of its divisors is an integer number (340815519).

Almost surely, 2^11034100240 is an apocalyptic number.

11034100240 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 11034100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632620760).

11034100240 is an abundant number, since it is smaller than the sum of its proper divisors (16231141280).

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

11034100240 is a wasteful number, since it uses less digits than its factorization.

11034100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30460 (or 30454 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11034100240 its reverse (4200143011), we get a palindrome (15234243251).

The spelling of 11034100240 in words is "eleven billion, thirty-four million, one hundred thousand, two hundred forty".