4002404004 has 72 divisors (see below), whose sum is σ = 10507835520. Its totient is φ = 1283585472.

The previous prime is 4002403967. The next prime is 4002404023. The reversal of 4002404004 is 4004042004.

It is a happy number.

It is a super-2 number, since 2×4002404004² = 32038475622470464032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79782 + ... + 119874.

It is an arithmetic number, because the mean of its divisors is an integer number (145942160).

Almost surely, 2^4002404004 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 4002404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253917760).

4002404004 is an abundant number, since it is smaller than the sum of its proper divisors (6505431516).

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

4002404004 is a wasteful number, since it uses less digits than its factorization.

4002404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40209 (or 40204 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4002404004 is about 63264.5556690316. Note that the first 3 decimals coincide. The cubic root of 4002404004 is about 1587.7189981546.

Adding to 4002404004 its reverse (4004042004), we get a palindrome (8006446008).

The spelling of 4002404004 in words is "four billion, two million, four hundred four thousand, four".