4023725760 has 448 divisors, whose sum is σ = 15137587200. Its totient is φ = 1003290624.

The previous prime is 4023725759. The next prime is 4023725831. The reversal of 4023725760 is 675273204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20848224 + ... + 20848416.

Almost surely, 2^4023725760 is an apocalyptic number.

4023725760 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 4023725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568793600).

4023725760 is an abundant number, since it is smaller than the sum of its proper divisors (11113861440).

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

4023725760 is a wasteful number, since it uses less digits than its factorization.

4023725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4023725760 is about 63432.8444892707. The cubic root of 4023725760 is about 1590.5333917107.

Adding to 4023725760 its reverse (675273204), we get a palindrome (4698998964).

The spelling of 4023725760 in words is "four billion, twenty-three million, seven hundred twenty-five thousand, seven hundred sixty".