4045318200 has 1152 divisors, whose sum is σ = 18718801920. Its totient is φ = 786931200.

The previous prime is 4045318187. The next prime is 4045318213. The reversal of 4045318200 is 28135404.

4045318200 is a `hidden beast` number, since 4 + 0 + 453 + 1 + 8 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (4045318187) and next prime (4045318213).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86070577 + ... + 86070623.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^4045318200 is an apocalyptic number.

4045318200 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 4045318200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

4045318200 is an abundant number, since it is smaller than the sum of its proper divisors (14673483720).

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

4045318200 is a wasteful number, since it uses less digits than its factorization.

4045318200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4045318200 is about 63602.8159753953. The cubic root of 4045318200 is about 1593.3734002907.

It can be divided in two parts, 40453 and 18200, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 4045318200 in words is "four billion, forty-five million, three hundred eighteen thousand, two hundred".