11040540336 has 240 divisors, whose sum is σ = 36498981376. Its totient is φ = 3049933824.

The previous prime is 11040540331. The next prime is 11040540347. The reversal of 11040540336 is 63304504011.

11040540336 is a `hidden beast` number, since 110 + 4 + 0 + 540 + 3 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11040540331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463196 + ... + 4465668.

Almost surely, 2^11040540336 is an apocalyptic number.

11040540336 is a gapful number since it is divisible by the number (16) 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 11040540336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249490688).

11040540336 is an abundant number, since it is smaller than the sum of its proper divisors (25458441040).

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

11040540336 is a wasteful number, since it uses less digits than its factorization.

11040540336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 11040540336 in words is "eleven billion, forty million, five hundred forty thousand, three hundred thirty-six".