4001023120 has 40 divisors (see below), whose sum is σ = 9553801464. Its totient is φ = 1557153792.

The previous prime is 4001023093. The next prime is 4001023127. The reversal of 4001023120 is 213201004.

4001023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2060796816 + 1940226304 = 45396^2 + 44048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4001023120.

It is not an unprimeable number, because it can be changed into a prime (4001023127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672889 + ... + 678808.

Almost surely, 2^4001023120 is an apocalyptic number.

4001023120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001023120 is an abundant number, since it is smaller than the sum of its proper divisors (5552778344).

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

4001023120 is a wasteful number, since it uses less digits than its factorization.

4001023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351747 (or 1351741 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4001023120 is about 63253.6411600154. The cubic root of 4001023120 is about 1587.5363822443.

Adding to 4001023120 its reverse (213201004), we get a palindrome (4214224124).

The spelling of 4001023120 in words is "four billion, one million, twenty-three thousand, one hundred twenty".