11040099840 has 960 divisors, whose sum is σ = 49025433600. Its totient is φ = 2275983360.

The previous prime is 11040099793. The next prime is 11040099841. The reversal of 11040099840 is 4899004011.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11040099795 and 11040099804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040099841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86929857 + ... + 86929983.

It is an arithmetic number, because the mean of its divisors is an integer number (51068160).

Almost surely, 2^11040099840 is an apocalyptic number.

11040099840 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 11040099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24512716800).

11040099840 is an abundant number, since it is smaller than the sum of its proper divisors (37985333760).

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

11040099840 is a wasteful number, since it uses less digits than its factorization.

11040099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11040099840 in words is "eleven billion, forty million, ninety-nine thousand, eight hundred forty".