11241543040 has 256 divisors, whose sum is σ = 34820352000. Its totient is φ = 3370180608.

The previous prime is 11241543037. The next prime is 11241543073. The reversal of 11241543040 is 4034514211.

It is a junction number, because it is equal to n+sod(n) for n = 11241542996 and 11241543014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101481 + ... + 1111639.

It is an arithmetic number, because the mean of its divisors is an integer number (136017000).

Almost surely, 2^11241543040 is an apocalyptic number.

11241543040 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 11241543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410176000).

11241543040 is an abundant number, since it is smaller than the sum of its proper divisors (23578808960).

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

11241543040 is a wasteful number, since it uses less digits than its factorization.

11241543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 11241543040 in words is "eleven billion, two hundred forty-one million, five hundred forty-three thousand, forty".