4089745920 has 480 divisors, whose sum is σ = 14880868992. Its totient is φ = 955908096.

The previous prime is 4089745903. The next prime is 4089745939. The reversal of 4089745920 is 295479804.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4089745920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29852092 + ... + 29852228.

Almost surely, 2^4089745920 is an apocalyptic number.

4089745920 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 4089745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440434496).

4089745920 is an abundant number, since it is smaller than the sum of its proper divisors (10791123072).

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

4089745920 is a wasteful number, since it uses less digits than its factorization.

4089745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 4089745920 is about 63951.1213349696. The cubic root of 4089745920 is about 1599.1852518530.

The spelling of 4089745920 in words is "four billion, eighty-nine million, seven hundred forty-five thousand, nine hundred twenty".