11084742240 has 576 divisors, whose sum is σ = 42263944128. Its totient is φ = 2424913920.

The previous prime is 11084742191. The next prime is 11084742281. The reversal of 11084742240 is 4224748011.

11084742240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40016982 + ... + 40017258.

It is an arithmetic number, because the mean of its divisors is an integer number (73374903).

Almost surely, 2^11084742240 is an apocalyptic number.

11084742240 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 11084742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21131972064).

11084742240 is an abundant number, since it is smaller than the sum of its proper divisors (31179201888).

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

11084742240 is a wasteful number, since it uses less digits than its factorization.

11084742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 11084742240 in words is "eleven billion, eighty-four million, seven hundred forty-two thousand, two hundred forty".