1004041020 has 96 divisors (see below), whose sum is σ = 2939166720. Its totient is φ = 255790080.

The previous prime is 1004041019. The next prime is 1004041021. The reversal of 1004041020 is 201404001.

It is an interprime number because it is at equal distance from previous prime (1004041019) and next prime (1004041021).

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 = 1004040987 and 1004041005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004041021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143524 + ... + 150356.

It is an arithmetic number, because the mean of its divisors is an integer number (30616320).

Almost surely, 2^1004041020 is an apocalyptic number.

1004041020 is a gapful number since it is divisible by the number (10) 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 1004041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469583360).

1004041020 is an abundant number, since it is smaller than the sum of its proper divisors (1935125700).

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

1004041020 is a wasteful number, since it uses less digits than its factorization.

1004041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1004041020 is about 31686.6063187587. The cubic root of 1004041020 is about 1001.3451963022.

Adding to 1004041020 its reverse (201404001), we get a palindrome (1205445021).

The spelling of 1004041020 in words is "one billion, four million, forty-one thousand, twenty".