4415221440 has 336 divisors, whose sum is σ = 18120664800. Its totient is φ = 1009096704.

The previous prime is 4415221439. The next prime is 4415221457. The reversal of 4415221440 is 441225144.

4415221440 is a `hidden beast` number, since 441 + 5 + 2 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 418146 + ... + 428574.

It is an arithmetic number, because the mean of its divisors is an integer number (53930550).

Almost surely, 2^4415221440 is an apocalyptic number.

4415221440 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 4415221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060332400).

4415221440 is an abundant number, since it is smaller than the sum of its proper divisors (13705443360).

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

4415221440 is a wasteful number, since it uses less digits than its factorization.

4415221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10446 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4415221440 is about 66447.1326695140. The cubic root of 4415221440 is about 1640.5299496933.

Adding to 4415221440 its reverse (441225144), we get a palindrome (4856446584).

The spelling of 4415221440 in words is "four billion, four hundred fifteen million, two hundred twenty-one thousand, four hundred forty".