8440220448 has 108 divisors (see below), whose sum is σ = 26382337254. Its totient is φ = 2557632000.

The previous prime is 8440220447. The next prime is 8440220491.

8440220448 is a `hidden beast` number, since 8 + 4 + 402 + 204 + 48 = 666.

8440220448 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 6293566224 + 2146654224 = 79332^2 + 46332^2 .

It is a super-3 number, since 3×8440220448³ (a number of 31 digits) contains 333 as substring.

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 (8440220447) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 86253 + ... + 155948.

Almost surely, 2^8440220448 is an apocalyptic number.

8440220448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8440220448 is an abundant number, since it is smaller than the sum of its proper divisors (17942116806).

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

8440220448 is a wasteful number, since it uses less digits than its factorization.

8440220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242239 (or 242217 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8440220448 is about 91870.6724042009. The cubic root of 8440220448 is about 2036.0319869197.

The spelling of 8440220448 in words is "eight billion, four hundred forty million, two hundred twenty thousand, four hundred forty-eight".