11041114040 has 128 divisors (see below), whose sum is σ = 27778360320. Its totient is φ = 3915225600.

The previous prime is 11041114037. The next prime is 11041114043. The reversal of 11041114040 is 4041114011.

It is an interprime number because it is at equal distance from previous prime (11041114037) and next prime (11041114043).

It is a super-4 number, since 4×11041114040⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041114043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6844274 + ... + 6845886.

It is an arithmetic number, because the mean of its divisors is an integer number (217018440).

Almost surely, 2^11041114040 is an apocalyptic number.

11041114040 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 11041114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889180160).

11041114040 is an abundant number, since it is smaller than the sum of its proper divisors (16737246280).

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

11041114040 is a wasteful number, since it uses less digits than its factorization.

11041114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11041114040 its reverse (4041114011), we get a palindrome (15082228051).

The spelling of 11041114040 in words is "eleven billion, forty-one million, one hundred fourteen thousand, forty".