11040737040000 has 960 divisors, whose sum is σ = 42666801503040. Its totient is φ = 2729447424000.

The previous prime is 11040737039999. The next prime is 11040737040013. The reversal of 11040737040000 is 4073704011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 820073269 + ... + 820086731.

It is an arithmetic number, because the mean of its divisors is an integer number (44444584899).

Almost surely, 2^{11040737040000} is an apocalyptic number.

11040737040000 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 11040737040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21333400751520).

11040737040000 is an abundant number, since it is smaller than the sum of its proper divisors (31626064463040).

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

11040737040000 is a wasteful number, since it uses less digits than its factorization.

11040737040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 11040737040000 in words is "eleven trillion, forty billion, seven hundred thirty-seven million, forty thousand".