4045955760 has 960 divisors, whose sum is σ = 18718801920. Its totient is φ = 757278720.

The previous prime is 4045955729. The next prime is 4045955773. The reversal of 4045955760 is 675595404.

4045955760 is a `hidden beast` number, since 4 + 0 + 4 + 595 + 57 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24227197 + ... + 24227363.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^4045955760 is an apocalyptic number.

4045955760 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 4045955760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

4045955760 is an abundant number, since it is smaller than the sum of its proper divisors (14672846160).

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

4045955760 is a wasteful number, since it uses less digits than its factorization.

4045955760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 4045955760 is about 63607.8278201669. The cubic root of 4045955760 is about 1593.4571034533.

It can be divided in two parts, 4045 and 955760, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 4045955760 in words is "four billion, forty-five million, nine hundred fifty-five thousand, seven hundred sixty".