4045852800 has 864 divisors, whose sum is σ = 16838661840. Its totient is φ = 958003200.

The previous prime is 4045852771. The next prime is 4045852807. The reversal of 4045852800 is 82585404.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (4045852807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 94089579 + ... + 94089621.

Almost surely, 2^4045852800 is an apocalyptic number.

4045852800 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 4045852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419330920).

4045852800 is an abundant number, since it is smaller than the sum of its proper divisors (12792809040).

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

4045852800 is a wasteful number, since it uses less digits than its factorization.

4045852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4045852800 is about 63607.0184806677. The cubic root of 4045852800 is about 1593.4435867677.

The spelling of 4045852800 in words is "four billion, forty-five million, eight hundred fifty-two thousand, eight hundred".