4557888000 has 480 divisors, whose sum is σ = 16904199312. Its totient is φ = 1179648000.

The previous prime is 4557887977. The next prime is 4557888059. The reversal of 4557888000 is 8887554.

It can be written as a sum of positive squares in 8 ways, for example, as 252428544 + 4305459456 = 15888^2 + 65616^2 .

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 (45).

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, 23615904 + ... + 23616096.

Almost surely, 2^4557888000 is an apocalyptic number.

4557888000 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 4557888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8452099656).

4557888000 is an abundant number, since it is smaller than the sum of its proper divisors (12346311312).

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

4557888000 is a wasteful number, since it uses less digits than its factorization.

4557888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 4557888000 is about 67512.1322430273. The cubic root of 4557888000 is about 1658.0128153956.

The spelling of 4557888000 in words is "four billion, five hundred fifty-seven million, eight hundred eighty-eight thousand".