4123433440 has 192 divisors, whose sum is σ = 11670220800. Its totient is φ = 1346881536.

The previous prime is 4123433437. The next prime is 4123433441. The reversal of 4123433440 is 443343214.

It is a super-2 number, since 2×4123433440² = 34005406668220467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4123433399 and 4123433408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123433441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2565117 + ... + 2566723.

It is an arithmetic number, because the mean of its divisors is an integer number (60782400).

Almost surely, 2^4123433440 is an apocalyptic number.

4123433440 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 4123433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835110400).

4123433440 is an abundant number, since it is smaller than the sum of its proper divisors (7546787360).

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

4123433440 is a wasteful number, since it uses less digits than its factorization.

4123433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 4123433440 is about 64213.9660821538. The cubic root of 4123433440 is about 1603.5641172724.

Adding to 4123433440 its reverse (443343214), we get a palindrome (4566776654).

The spelling of 4123433440 in words is "four billion, one hundred twenty-three million, four hundred thirty-three thousand, four hundred forty".