11440855550880 has 1152 divisors, whose sum is σ = 47257608093696. Its totient is φ = 2465145446400.

The previous prime is 11440855550843. The next prime is 11440855550909. The reversal of 11440855550880 is 8805555804411.

It is a happy number.

11440855550880 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 8 + 5 + 5 + 550 + 8 + 80 = 666.

It is a super-2 number, since 2×11440855550880² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6194290117 + ... + 6194291963.

It is an arithmetic number, because the mean of its divisors is an integer number (41022229248).

Almost surely, 2^{11440855550880} is an apocalyptic number.

11440855550880 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 11440855550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628804046848).

11440855550880 is an abundant number, since it is smaller than the sum of its proper divisors (35816752542816).

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

11440855550880 is a wasteful number, since it uses less digits than its factorization.

11440855550880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 5120000, while the sum is 54.

The spelling of 11440855550880 in words is "eleven trillion, four hundred forty billion, eight hundred fifty-five million, five hundred fifty thousand, eight hundred eighty".