4045668000 has 192 divisors, whose sum is σ = 14458953600. Its totient is φ = 980736000.

The previous prime is 4045667971. The next prime is 4045668001. The reversal of 4045668000 is 8665404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4045668001) 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 31 ways as a sum of consecutive naturals, for example, 116676 + ... + 147324.

It is an arithmetic number, because the mean of its divisors is an integer number (75307050).

Almost surely, 2^4045668000 is an apocalyptic number.

4045668000 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 4045668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229476800).

4045668000 is an abundant number, since it is smaller than the sum of its proper divisors (10413285600).

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

4045668000 is a wasteful number, since it uses less digits than its factorization.

4045668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30688 (or 30670 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4045668000 is about 63605.5657941976. The cubic root of 4045668000 is about 1593.4193254749.

The spelling of 4045668000 in words is "four billion, forty-five million, six hundred sixty-eight thousand".