4001003220 has 96 divisors (see below), whose sum is σ = 11609579520. Its totient is φ = 1028465280.

The previous prime is 4001003207. The next prime is 4001003221. The reversal of 4001003220 is 223001004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4001003196 and 4001003205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001003221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485091 + ... + 493269.

It is an arithmetic number, because the mean of its divisors is an integer number (120933120).

Almost surely, 2^4001003220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804789760).

4001003220 is an abundant number, since it is smaller than the sum of its proper divisors (7608576300).

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

4001003220 is a wasteful number, since it uses less digits than its factorization.

4001003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4001003220 is about 63253.4838566225. The cubic root of 4001003220 is about 1587.5337502486.

Adding to 4001003220 its reverse (223001004), we get a palindrome (4224004224).

The spelling of 4001003220 in words is "four billion, one million, three thousand, two hundred twenty".