4334162240 has 224 divisors, whose sum is σ = 11439473184. Its totient is φ = 1557135360.

The previous prime is 4334162237. The next prime is 4334162279. The reversal of 4334162240 is 422614334.

It can be written as a sum of positive squares in 16 ways, for example, as 778186816 + 3555975424 = 27896^2 + 59632^2 .

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, 12277904 + ... + 12278256.

Almost surely, 2^4334162240 is an apocalyptic number.

4334162240 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 4334162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719736592).

4334162240 is an abundant number, since it is smaller than the sum of its proper divisors (7105310944).

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

4334162240 is a wasteful number, since it uses less digits than its factorization.

4334162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 4334162240 is about 65834.3545574801. The cubic root of 4334162240 is about 1630.4283617044.

Adding to 4334162240 its reverse (422614334), we get a palindrome (4756776574).

The spelling of 4334162240 in words is "four billion, three hundred thirty-four million, one hundred sixty-two thousand, two hundred forty".