4023069120 has 672 divisors, whose sum is σ = 17307763200. Its totient is φ = 868921344.

The previous prime is 4023069107. The next prime is 4023069157. The reversal of 4023069120 is 219603204.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10341886 + ... + 10342274.

It is an arithmetic number, because the mean of its divisors is an integer number (25755600).

Almost surely, 2^4023069120 is an apocalyptic number.

4023069120 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 4023069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8653881600).

4023069120 is an abundant number, since it is smaller than the sum of its proper divisors (13284694080).

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

4023069120 is a wasteful number, since it uses less digits than its factorization.

4023069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4023069120 is about 63427.6684105604. The cubic root of 4023069120 is about 1590.4468662094.

The spelling of 4023069120 in words is "four billion, twenty-three million, sixty-nine thousand, one hundred twenty".