4234351440 has 240 divisors, whose sum is σ = 14545944000. Its totient is φ = 1018152960.

The previous prime is 4234351421. The next prime is 4234351441. The reversal of 4234351440 is 441534324.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4234351398 and 4234351407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234351441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4036036 + ... + 4037084.

It is an arithmetic number, because the mean of its divisors is an integer number (60608100).

Almost surely, 2^4234351440 is an apocalyptic number.

4234351440 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 4234351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272972000).

4234351440 is an abundant number, since it is smaller than the sum of its proper divisors (10311592560).

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

4234351440 is a wasteful number, since it uses less digits than its factorization.

4234351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4234351440 is about 65071.8943938164. The cubic root of 4234351440 is about 1617.8154062286.

Adding to 4234351440 its reverse (441534324), we get a palindrome (4675885764).

The spelling of 4234351440 in words is "four billion, two hundred thirty-four million, three hundred fifty-one thousand, four hundred forty".