11291005440 has 960 divisors, whose sum is σ = 48259411200. Its totient is φ = 2400583680.

The previous prime is 11291005421. The next prime is 11291005477. The reversal of 11291005440 is 4450019211.

11291005440 is a `hidden beast` number, since 1 + 12 + 9 + 100 + 544 + 0 = 666.

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

It is a super-2 number, since 2×11291005440² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 75778486 + ... + 75778634.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^11291005440 is an apocalyptic number.

11291005440 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 11291005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24129705600).

11291005440 is an abundant number, since it is smaller than the sum of its proper divisors (36968405760).

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

11291005440 is a wasteful number, since it uses less digits than its factorization.

11291005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11291005440 in words is "eleven billion, two hundred ninety-one million, five thousand, four hundred forty".