4518554400 has 216 divisors, whose sum is σ = 15999640020. Its totient is φ = 1199953920.

The previous prime is 4518554399. The next prime is 4518554419. The reversal of 4518554400 is 44558154.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 395373456 + 4123180944 = 19884^2 + 64212^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1935634 + ... + 1937966.

Almost surely, 2^4518554400 is an apocalyptic number.

4518554400 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 4518554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999820010).

4518554400 is an abundant number, since it is smaller than the sum of its proper divisors (11481085620).

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

4518554400 is a wasteful number, since it uses less digits than its factorization.

4518554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 4518554400 is about 67220.1933945448. The cubic root of 4518554400 is about 1653.2295973473.

The spelling of 4518554400 in words is "four billion, five hundred eighteen million, five hundred fifty-four thousand, four hundred".