11543411440 has 80 divisors (see below), whose sum is σ = 29475122400. Its totient is φ = 4169384960.

The previous prime is 11543411423. The next prime is 11543411479. The reversal of 11543411440 is 4411434511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11543411399 and 11543411408.

It is a congruent number.

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, 87102 + ... + 175138.

It is an arithmetic number, because the mean of its divisors is an integer number (368439030).

Almost surely, 2^11543411440 is an apocalyptic number.

11543411440 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 11543411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737561200).

11543411440 is an abundant number, since it is smaller than the sum of its proper divisors (17931710960).

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

11543411440 is a wasteful number, since it uses less digits than its factorization.

11543411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88210 (or 88204 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 11543411440 its reverse (4411434511), we get a palindrome (15954845951).

The spelling of 11543411440 in words is "eleven billion, five hundred forty-three million, four hundred eleven thousand, four hundred forty".