4001320020 has 96 divisors (see below), whose sum is σ = 11405076480. Its totient is φ = 1047957120.

The previous prime is 4001320003. The next prime is 4001320021. The reversal of 4001320020 is 200231004.

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 = 4001319978 and 4001320005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001320021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1203921 + ... + 1207239.

It is an arithmetic number, because the mean of its divisors is an integer number (118802880).

Almost surely, 2^4001320020 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 4001320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702538240).

4001320020 is an abundant number, since it is smaller than the sum of its proper divisors (7403756460).

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

4001320020 is a wasteful number, since it uses less digits than its factorization.

4001320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3683 counting only the distinct ones).

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

The square root of 4001320020 is about 63255.9880169459. The cubic root of 4001320020 is about 1587.5756495250.

Adding to 4001320020 its reverse (200231004), we get a palindrome (4201551024).

The spelling of 4001320020 in words is "four billion, one million, three hundred twenty thousand, twenty".