4023760000 has 320 divisors, whose sum is σ = 11141527320. Its totient is φ = 1437696000.

The previous prime is 4023759997. The next prime is 4023760003. The reversal of 4023760000 is 673204.

It is an interprime number because it is at equal distance from previous prime (4023759997) and next prime (4023760003).

It can be written as a sum of positive squares in 20 ways, for example, as 1763328064 + 2260431936 = 41992^2 + 47544^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023760003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 55119964 + ... + 55120036.

Almost surely, 2^4023760000 is an apocalyptic number.

4023760000 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 4023760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570763660).

4023760000 is an abundant number, since it is smaller than the sum of its proper divisors (7117767320).

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

4023760000 is an equidigital number, since it uses as much as digits as its factorization.

4023760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 4023760000 is about 63433.1143804244. The cubic root of 4023760000 is about 1590.5379032598.

The spelling of 4023760000 in words is "four billion, twenty-three million, seven hundred sixty thousand".