11034401112240 has 160 divisors (see below), whose sum is σ = 37334747923200. Its totient is φ = 2673686645760.

The previous prime is 11034401112227. The next prime is 11034401112299. The reversal of 11034401112240 is 4221110443011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11034401112240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4326571 + ... + 6386549.

It is an arithmetic number, because the mean of its divisors is an integer number (233342174520).

Almost surely, 2^{11034401112240} is an apocalyptic number.

11034401112240 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 11034401112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667373961600).

11034401112240 is an abundant number, since it is smaller than the sum of its proper divisors (26300346810960).

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

11034401112240 is a wasteful number, since it uses less digits than its factorization.

11034401112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062035 (or 2062029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11034401112240 its reverse (4221110443011), we get a palindrome (15255511555251).

The spelling of 11034401112240 in words is "eleven trillion, thirty-four billion, four hundred one million, one hundred twelve thousand, two hundred forty".