4000233104120 has 192 divisors, whose sum is σ = 10563363740160. Its totient is φ = 1359026000640.

The previous prime is 4000233104053. The next prime is 4000233104123. The reversal of 4000233104120 is 214013320004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4000233104092 and 4000233104101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000233104123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4368917 + ... + 5204603.

It is an arithmetic number, because the mean of its divisors is an integer number (55017519480).

Almost surely, 2^{4000233104120} is an apocalyptic number.

4000233104120 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 4000233104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281681870080).

4000233104120 is an abundant number, since it is smaller than the sum of its proper divisors (6563130636040).

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

4000233104120 is a wasteful number, since it uses less digits than its factorization.

4000233104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835786 (or 835771 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4000233104120 its reverse (214013320004), we get a palindrome (4214246424124).

The spelling of 4000233104120 in words is "four trillion, two hundred thirty-three million, one hundred four thousand, one hundred twenty".