4023306144 has 432 divisors, whose sum is σ = 13834600416. Its totient is φ = 1101450240.

The previous prime is 4023306113. The next prime is 4023306149. The reversal of 4023306144 is 4416033204.

4023306144 is a `hidden beast` number, since 40 + 2 + 3 + 3 + 0 + 614 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023306149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37600939 + ... + 37601045.

It is an arithmetic number, because the mean of its divisors is an integer number (32024538).

Almost surely, 2^4023306144 is an apocalyptic number.

4023306144 is a gapful number since it is divisible by the number (44) 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 4023306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917300208).

4023306144 is an abundant number, since it is smaller than the sum of its proper divisors (9811294272).

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

4023306144 is a wasteful number, since it uses less digits than its factorization.

4023306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4023306144 is about 63429.5368420738. The cubic root of 4023306144 is about 1590.4780999652.

Adding to 4023306144 its reverse (4416033204), we get a palindrome (8439339348).

The spelling of 4023306144 in words is "four billion, twenty-three million, three hundred six thousand, one hundred forty-four".