4541042880 has 504 divisors, whose sum is σ = 17485833456. Its totient is φ = 1080668160.

The previous prime is 4541042867. The next prime is 4541042887. The reversal of 4541042880 is 882401454.

4541042880 is a `hidden beast` number, since 454 + 104 + 28 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4541042887) 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 71 ways as a sum of consecutive naturals, for example, 28923762 + ... + 28923918.

It is an arithmetic number, because the mean of its divisors is an integer number (34694114).

Almost surely, 2^4541042880 is an apocalyptic number.

4541042880 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 4541042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742916728).

4541042880 is an abundant number, since it is smaller than the sum of its proper divisors (12944790576).

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

4541042880 is a wasteful number, since it uses less digits than its factorization.

4541042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4541042880 is about 67387.2605171037. The cubic root of 4541042880 is about 1655.9677232384.

The spelling of 4541042880 in words is "four billion, five hundred forty-one million, forty-two thousand, eight hundred eighty".