4102221440 has 32 divisors (see below), whose sum is σ = 9806874660. Its totient is φ = 1640888320.

The previous prime is 4102221439. The next prime is 4102221449. The reversal of 4102221440 is 441222014.

It can be written as a sum of positive squares in 2 ways, for example, as 3372357184 + 729864256 = 58072^2 + 27016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4102221449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3204221 + ... + 3205500.

Almost surely, 2^4102221440 is an apocalyptic number.

4102221440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102221440 is an abundant number, since it is smaller than the sum of its proper divisors (5704653220).

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

4102221440 is an equidigital number, since it uses as much as digits as its factorization.

4102221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409740 (or 6409728 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4102221440 is about 64048.5865573941. The cubic root of 4102221440 is about 1600.8096735322.

Adding to 4102221440 its reverse (441222014), we get a palindrome (4543443454).

The spelling of 4102221440 in words is "four billion, one hundred two million, two hundred twenty-one thousand, four hundred forty".