11141515840 has 224 divisors, whose sum is σ = 33273918720. Its totient is φ = 3459096576.

The previous prime is 11141515837. The next prime is 11141515841. The reversal of 11141515840 is 4851514111.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (11141515841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539751 + ... + 1546969.

It is an arithmetic number, because the mean of its divisors is an integer number (148544280).

Almost surely, 2^11141515840 is an apocalyptic number.

11141515840 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 11141515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636959360).

11141515840 is an abundant number, since it is smaller than the sum of its proper divisors (22132402880).

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

11141515840 is a wasteful number, since it uses less digits than its factorization.

11141515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 31.

The spelling of 11141515840 in words is "eleven billion, one hundred forty-one million, five hundred fifteen thousand, eight hundred forty".