4038231120 has 960 divisors, whose sum is σ = 17587445760. Its totient is φ = 754790400.

The previous prime is 4038231107. The next prime is 4038231143. The reversal of 4038231120 is 211328304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76193014 + ... + 76193066.

It is an arithmetic number, because the mean of its divisors is an integer number (18320256).

Almost surely, 2^4038231120 is an apocalyptic number.

4038231120 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 4038231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793722880).

4038231120 is an abundant number, since it is smaller than the sum of its proper divisors (13549214640).

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

4038231120 is a wasteful number, since it uses less digits than its factorization.

4038231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4038231120 is about 63547.0779816035. The cubic root of 4038231120 is about 1592.4423679985.

Adding to 4038231120 its reverse (211328304), we get a palindrome (4249559424).

The spelling of 4038231120 in words is "four billion, thirty-eight million, two hundred thirty-one thousand, one hundred twenty".