4581755280 has 240 divisors, whose sum is σ = 16046931264. Its totient is φ = 1214922240.

The previous prime is 4581755279. The next prime is 4581755287. The reversal of 4581755280 is 825571854.

4581755280 is a `hidden beast` number, since 4 + 5 + 8 + 17 + 552 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4581755287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4101282 + ... + 4102398.

Almost surely, 2^4581755280 is an apocalyptic number.

4581755280 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 4581755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023465632).

4581755280 is an abundant number, since it is smaller than the sum of its proper divisors (11465175984).

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

4581755280 is a wasteful number, since it uses less digits than its factorization.

4581755280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 4581755280 is about 67688.6643390162. The cubic root of 4581755280 is about 1660.9018276802.

The spelling of 4581755280 in words is "four billion, five hundred eighty-one million, seven hundred fifty-five thousand, two hundred eighty".