4006023120 has 120 divisors (see below), whose sum is σ = 14676640992. Its totient is φ = 971155200.

The previous prime is 4006023097. The next prime is 4006023181. The reversal of 4006023120 is 213206004.

It is a happy number.

4006023120 is a `hidden beast` number, since 40 + 0 + 602 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4006023093 and 4006023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244986 + ... + 260825.

Almost surely, 2^4006023120 is an apocalyptic number.

4006023120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006023120 is an abundant number, since it is smaller than the sum of its proper divisors (10670617872).

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

4006023120 is a wasteful number, since it uses less digits than its factorization.

4006023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505841 (or 505832 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4006023120 is about 63293.1522362412. The cubic root of 4006023120 is about 1588.1974113065.

Adding to 4006023120 its reverse (213206004), we get a palindrome (4219229124).

The spelling of 4006023120 in words is "four billion, six million, twenty-three thousand, one hundred twenty".