4418260900 has 135 divisors (see below), whose sum is σ = 10649008741. Its totient is φ = 1591025920.

The previous prime is 4418260871. The next prime is 4418260933. The reversal of 4418260900 is 90628144.

The square root of 4418260900 is 66470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 481451364 + 3936809536 = 21942^2 + 62744^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 192098289 + ... + 192098311.

Almost surely, 2^4418260900 is an apocalyptic number.

4418260900 is the 66470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4418260900

4418260900 is an abundant number, since it is smaller than the sum of its proper divisors (6230747841).

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

4418260900 is an equidigital number, since it uses as much as digits as its factorization.

4418260900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 4418260900 is about 1640.9063129526.

The spelling of 4418260900 in words is "four billion, four hundred eighteen million, two hundred sixty thousand, nine hundred".