4045200920 has 64 divisors (see below), whose sum is σ = 9369803520. Its totient is φ = 1570875264.

The previous prime is 4045200889. The next prime is 4045200937. The reversal of 4045200920 is 290025404.

4045200920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4045200920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280199 + ... + 294281.

It is an arithmetic number, because the mean of its divisors is an integer number (146403180).

Almost surely, 2^4045200920 is an apocalyptic number.

4045200920 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 4045200920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684901760).

4045200920 is an abundant number, since it is smaller than the sum of its proper divisors (5324602600).

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

4045200920 is a wasteful number, since it uses less digits than its factorization.

4045200920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14304 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4045200920 is about 63601.8939969558. The cubic root of 4045200920 is about 1593.3580020262.

The spelling of 4045200920 in words is "four billion, forty-five million, two hundred thousand, nine hundred twenty".