4311120440 has 128 divisors (see below), whose sum is σ = 11258092800. Its totient is φ = 1468385280.

The previous prime is 4311120419. The next prime is 4311120469. The reversal of 4311120440 is 440211134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696691 + ... + 1699229.

It is an arithmetic number, because the mean of its divisors is an integer number (87953850).

Almost surely, 2^4311120440 is an apocalyptic number.

4311120440 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 4311120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629046400).

4311120440 is an abundant number, since it is smaller than the sum of its proper divisors (6946972360).

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

4311120440 is a wasteful number, since it uses less digits than its factorization.

4311120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4311120440 is about 65659.1230523223. The cubic root of 4311120440 is about 1627.5339325930.

Adding to 4311120440 its reverse (440211134), we get a palindrome (4751331574).

The spelling of 4311120440 in words is "four billion, three hundred eleven million, one hundred twenty thousand, four hundred forty".