4237253440 has 168 divisors, whose sum is σ = 11810052072. Its totient is φ = 1443778560.

The previous prime is 4237253437. The next prime is 4237253513. The reversal of 4237253440 is 443527324.

It can be written as a sum of positive squares in 4 ways, for example, as 154554624 + 4082698816 = 12432^2 + 63896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4237253396 and 4237253405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837334 + ... + 2838826.

It is an arithmetic number, because the mean of its divisors is an integer number (70297929).

Almost surely, 2^4237253440 is an apocalyptic number.

4237253440 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 4237253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905026036).

4237253440 is an abundant number, since it is smaller than the sum of its proper divisors (7572798632).

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

4237253440 is a wasteful number, since it uses less digits than its factorization.

4237253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The square root of 4237253440 is about 65094.1889879581. The cubic root of 4237253440 is about 1618.1849101332.

The spelling of 4237253440 in words is "four billion, two hundred thirty-seven million, two hundred fifty-three thousand, four hundred forty".