4456221440 has 72 divisors (see below), whose sum is σ = 11644447248. Its totient is φ = 1620439040.

The previous prime is 4456221439. The next prime is 4456221529. The reversal of 4456221440 is 441226544.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4456221397 and 4456221406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144167 + ... + 172326.

It is an arithmetic number, because the mean of its divisors is an integer number (161728434).

Almost surely, 2^4456221440 is an apocalyptic number.

4456221440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4456221440 is an abundant number, since it is smaller than the sum of its proper divisors (7188225808).

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

4456221440 is a wasteful number, since it uses less digits than its factorization.

4456221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316525 (or 316511 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 4456221440 is about 66754.9356976696. The cubic root of 4456221440 is about 1645.5923304873.

Adding to 4456221440 its reverse (441226544), we get a palindrome (4897447984).

The spelling of 4456221440 in words is "four billion, four hundred fifty-six million, two hundred twenty-one thousand, four hundred forty".