4001100020 has 24 divisors (see below), whose sum is σ = 8496721800. Its totient is φ = 1582456832.

The previous prime is 4001100017. The next prime is 4001100023. The reversal of 4001100020 is 200011004.

It is an interprime number because it is at equal distance from previous prime (4001100017) and next prime (4001100023).

It can be written as a sum of positive squares in 4 ways, for example, as 62031376 + 3939068644 = 7876^2 + 62762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4001099980 and 4001100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001100023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1122125 + ... + 1125684.

It is an arithmetic number, because the mean of its divisors is an integer number (354030075).

Almost surely, 2^4001100020 is an apocalyptic number.

It is an amenable number.

4001100020 is an abundant number, since it is smaller than the sum of its proper divisors (4495621780).

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

4001100020 is a wasteful number, since it uses less digits than its factorization.

4001100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247907 (or 2247905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 4001100020 is about 63254.2490272393. The cubic root of 4001100020 is about 1587.5465530399.

Adding to 4001100020 its reverse (200011004), we get a palindrome (4201111024).

The spelling of 4001100020 in words is "four billion, one million, one hundred thousand, twenty".