11124340040 has 64 divisors (see below), whose sum is σ = 27346498560. Its totient is φ = 4039096320.

The previous prime is 11124340013. The next prime is 11124340063. The reversal of 11124340040 is 4004342111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11124339994 and 11124340021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277337 + ... + 314903.

It is an arithmetic number, because the mean of its divisors is an integer number (427289040).

Almost surely, 2^11124340040 is an apocalyptic number.

11124340040 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 11124340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673249280).

11124340040 is an abundant number, since it is smaller than the sum of its proper divisors (16222158520).

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

11124340040 is a wasteful number, since it uses less digits than its factorization.

11124340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38262 (or 38258 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11124340040 its reverse (4004342111), we get a palindrome (15128682151).

The spelling of 11124340040 in words is "eleven billion, one hundred twenty-four million, three hundred forty thousand, forty".