4001022004 has 48 divisors (see below), whose sum is σ = 8291969280. Its totient is φ = 1652797440.

The previous prime is 4001022001. The next prime is 4001022013. The reversal of 4001022004 is 4002201004.

4001022004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001022001) 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, 516649 + ... + 524335.

It is an arithmetic number, because the mean of its divisors is an integer number (172749360).

Almost surely, 2^4001022004 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 4001022004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145984640).

4001022004 is an abundant number, since it is smaller than the sum of its proper divisors (4290947276).

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

4001022004 is a wasteful number, since it uses less digits than its factorization.

4001022004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4001022004 is about 63253.6323383883. The cubic root of 4001022004 is about 1587.5362346411.

Adding to 4001022004 its reverse (4002201004), we get a palindrome (8003223008).

The spelling of 4001022004 in words is "four billion, one million, twenty-two thousand, four".