4431134040 has 128 divisors (see below), whose sum is σ = 13646646720. Its totient is φ = 1150361600.

The previous prime is 4431134021. The next prime is 4431134089. The reversal of 4431134040 is 404311344.

4431134040 = T₁₄₀₁₁ + T₁₄₀₁₂ + ... + T₁₄₀₅₅.

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 4431134040.

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, 4038772 + ... + 4039868.

Almost surely, 2^4431134040 is an apocalyptic number.

4431134040 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 4431134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823323360).

4431134040 is an abundant number, since it is smaller than the sum of its proper divisors (9215512680).

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

4431134040 is a wasteful number, since it uses less digits than its factorization.

4431134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4431134040 is about 66566.7637789310. The cubic root of 4431134040 is about 1642.4984276562.

Adding to 4431134040 its reverse (404311344), we get a palindrome (4835445384).

The spelling of 4431134040 in words is "four billion, four hundred thirty-one million, one hundred thirty-four thousand, forty".