4045776640 has 72 divisors (see below), whose sum is σ = 9705361680. Its totient is φ = 1615896576.

The previous prime is 4045776611. The next prime is 4045776649. The reversal of 4045776640 is 466775404.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045776649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1033567 + ... + 1037473.

It is an arithmetic number, because the mean of its divisors is an integer number (134796690).

Almost surely, 2^4045776640 is an apocalyptic number.

4045776640 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 4045776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852680840).

4045776640 is an abundant number, since it is smaller than the sum of its proper divisors (5659585040).

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

4045776640 is an equidigital number, since it uses as much as digits as its factorization.

4045776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The square root of 4045776640 is about 63606.4198017779. The cubic root of 4045776640 is about 1593.4335882638.

The spelling of 4045776640 in words is "four billion, forty-five million, seven hundred seventy-six thousand, six hundred forty".