11742041440 has 96 divisors (see below), whose sum is σ = 29402097984. Its totient is φ = 4416061440.

The previous prime is 11742041429. The next prime is 11742041447. The reversal of 11742041440 is 4414024711.

11742041440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11742041399 and 11742041408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11742041447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4108492 + ... + 4111348.

It is an arithmetic number, because the mean of its divisors is an integer number (306271854).

Almost surely, 2^11742041440 is an apocalyptic number.

11742041440 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 11742041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701048992).

11742041440 is an abundant number, since it is smaller than the sum of its proper divisors (17660056544).

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

11742041440 is a wasteful number, since it uses less digits than its factorization.

11742041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The spelling of 11742041440 in words is "eleven billion, seven hundred forty-two million, forty-one thousand, four hundred forty".