4001310422120 has 64 divisors (see below), whose sum is σ = 9823935744000. Its totient is φ = 1454646055680.

The previous prime is 4001310422071. The next prime is 4001310422143. The reversal of 4001310422120 is 212240131004.

4001310422120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4001310422120² (a number of 26 digits) contains 22 as substring.

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 = 4001310422092 and 4001310422101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533081 + ... + 2878679.

It is an arithmetic number, because the mean of its divisors is an integer number (153498996000).

Almost surely, 2^{4001310422120} is an apocalyptic number.

4001310422120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001310422120 is an abundant number, since it is smaller than the sum of its proper divisors (5822625321880).

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

4001310422120 is a wasteful number, since it uses less digits than its factorization.

4001310422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349498 (or 2349494 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4001310422120 its reverse (212240131004), we get a palindrome (4213550553124).

The spelling of 4001310422120 in words is "four trillion, one billion, three hundred ten million, four hundred twenty-two thousand, one hundred twenty".