4002220464 has 80 divisors (see below), whose sum is σ = 11346773760. Its totient is φ = 1205505280.

The previous prime is 4002220463. The next prime is 4002220489. The reversal of 4002220464 is 4640222004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4002220463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65482 + ... + 110870.

It is an arithmetic number, because the mean of its divisors is an integer number (141834672).

Almost surely, 2^4002220464 is an apocalyptic number.

4002220464 is a gapful number since it is divisible by the number (44) 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 4002220464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673386880).

4002220464 is an abundant number, since it is smaller than the sum of its proper divisors (7344553296).

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

4002220464 is a wasteful number, since it uses less digits than its factorization.

4002220464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45578 (or 45572 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4002220464 is about 63263.1050771301. The cubic root of 4002220464 is about 1587.6947282076.

Adding to 4002220464 its reverse (4640222004), we get a palindrome (8642442468).

The spelling of 4002220464 in words is "four billion, two million, two hundred twenty thousand, four hundred sixty-four".