4331233440 has 144 divisors (see below), whose sum is σ = 15141036456. Its totient is φ = 1126809600.

The previous prime is 4331233421. The next prime is 4331233453. The reversal of 4331233440 is 443321334.

4331233440 is a `hidden beast` number, since 4 + 3 + 312 + 3 + 344 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3104272656 + 1226960784 = 55716^2 + 35028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4331233440² = 37519166223548467200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22360 + ... + 95720.

Almost surely, 2^4331233440 is an apocalyptic number.

4331233440 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 4331233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570518228).

4331233440 is an abundant number, since it is smaller than the sum of its proper divisors (10809803016).

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

4331233440 is a wasteful number, since it uses less digits than its factorization.

4331233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73423 (or 73412 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 4331233440 is about 65812.1070928442. The cubic root of 4331233440 is about 1630.0610262321.

Adding to 4331233440 its reverse (443321334), we get a palindrome (4774554774).

The spelling of 4331233440 in words is "four billion, three hundred thirty-one million, two hundred thirty-three thousand, four hundred forty".