4020441304 has 64 divisors (see below), whose sum is σ = 8453652480. Its totient is φ = 1776672000.

The previous prime is 4020441281. The next prime is 4020441317. The reversal of 4020441304 is 4031440204.

4020441304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120297 + ... + 1123879.

It is an arithmetic number, because the mean of its divisors is an integer number (132088320).

Almost surely, 2^4020441304 is an apocalyptic number.

4020441304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020441304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226826240).

4020441304 is an abundant number, since it is smaller than the sum of its proper divisors (4433211176).

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

4020441304 is a wasteful number, since it uses less digits than its factorization.

4020441304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4020441304 is about 63406.9499660723. The cubic root of 4020441304 is about 1590.1005044390.

Adding to 4020441304 its reverse (4031440204), we get a palindrome (8051881508).

The spelling of 4020441304 in words is "four billion, twenty million, four hundred forty-one thousand, three hundred four".