11414234040 has 256 divisors, whose sum is σ = 39536640000. Its totient is φ = 2607137280.

The previous prime is 11414234009. The next prime is 11414234087. The reversal of 11414234040 is 4043241411.

11414234040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11414234040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4989777 + ... + 4992063.

It is an arithmetic number, because the mean of its divisors is an integer number (154440000).

Almost surely, 2^11414234040 is an apocalyptic number.

11414234040 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 11414234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320000).

11414234040 is an abundant number, since it is smaller than the sum of its proper divisors (28122405960).

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

11414234040 is a wasteful number, since it uses less digits than its factorization.

11414234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11414234040 its reverse (4043241411), we get a palindrome (15457475451).

The spelling of 11414234040 in words is "eleven billion, four hundred fourteen million, two hundred thirty-four thousand, forty".