40313120120 has 256 divisors, whose sum is σ = 115746140160. Its totient is φ = 12297111552.

The previous prime is 40313120077. The next prime is 40313120129. The reversal of 40313120120 is 2102131304.

40313120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40313120129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11460602 + ... + 11464118.

It is an arithmetic number, because the mean of its divisors is an integer number (452133360).

Almost surely, 2^40313120120 is an apocalyptic number.

40313120120 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 40313120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57873070080).

40313120120 is an abundant number, since it is smaller than the sum of its proper divisors (75433020040).

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

40313120120 is a wasteful number, since it uses less digits than its factorization.

40313120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 40313120120 its reverse (2102131304), we get a palindrome (42415251424).

The spelling of 40313120120 in words is "forty billion, three hundred thirteen million, one hundred twenty thousand, one hundred twenty".