11441741220 has 288 divisors, whose sum is σ = 42827436288. Its totient is φ = 2407781376.

The previous prime is 11441741209. The next prime is 11441741231. The reversal of 11441741220 is 2214714411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11441741209) and next prime (11441741231).

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 95 ways as a sum of consecutive naturals, for example, 8959222 + ... + 8960498.

It is an arithmetic number, because the mean of its divisors is an integer number (148706376).

Almost surely, 2^11441741220 is an apocalyptic number.

11441741220 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 11441741220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413718144).

11441741220 is an abundant number, since it is smaller than the sum of its proper divisors (31385695068).

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

11441741220 is a wasteful number, since it uses less digits than its factorization.

11441741220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 11441741220 in words is "eleven billion, four hundred forty-one million, seven hundred forty-one thousand, two hundred twenty".