11142410240 has 104 divisors (see below), whose sum is σ = 28796017488. Its totient is φ = 4114022400.

The previous prime is 11142410221. The next prime is 11142410263. The reversal of 11142410240 is 4201424111.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245315 + ... + 287165.

Almost surely, 2^11142410240 is an apocalyptic number.

11142410240 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 11142410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14398008744).

11142410240 is an abundant number, since it is smaller than the sum of its proper divisors (17653607248).

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

11142410240 is an equidigital number, since it uses as much as digits as its factorization.

11142410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41893 (or 41871 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11142410240 its reverse (4201424111), we get a palindrome (15343834351).

The spelling of 11142410240 in words is "eleven billion, one hundred forty-two million, four hundred ten thousand, two hundred forty".