4411271040 has 256 divisors, whose sum is σ = 16147987200. Its totient is φ = 1013022720.

The previous prime is 4411271023. The next prime is 4411271041. The reversal of 4411271040 is 401721144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4411271040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411271041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395784 + ... + 406776.

It is an arithmetic number, because the mean of its divisors is an integer number (63078075).

Almost surely, 2^4411271040 is an apocalyptic number.

4411271040 is a gapful number since it is divisible by the number (40) 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 4411271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073993600).

4411271040 is an abundant number, since it is smaller than the sum of its proper divisors (11736716160).

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

4411271040 is a wasteful number, since it uses less digits than its factorization.

4411271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4411271040 is about 66417.4001297853. The cubic root of 4411271040 is about 1640.0405304280.

Adding to 4411271040 its reverse (401721144), we get a palindrome (4812992184).

The spelling of 4411271040 in words is "four billion, four hundred eleven million, two hundred seventy-one thousand, forty".