11141317440 has 672 divisors, whose sum is σ = 44134796160. Its totient is φ = 2554675200.

The previous prime is 11141317433. The next prime is 11141317487. The reversal of 11141317440 is 4471314111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61554150 + ... + 61554330.

It is an arithmetic number, because the mean of its divisors is an integer number (65676780).

Almost surely, 2^11141317440 is an apocalyptic number.

11141317440 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 11141317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22067398080).

11141317440 is an abundant number, since it is smaller than the sum of its proper divisors (32993478720).

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

11141317440 is a wasteful number, since it uses less digits than its factorization.

11141317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11141317440 in words is "eleven billion, one hundred forty-one million, three hundred seventeen thousand, four hundred forty".