1004401022020 has 96 divisors (see below), whose sum is σ = 2439026505216. Its totient is φ = 343373721600.

The previous prime is 1004401022011. The next prime is 1004401022021. The reversal of 1004401022020 is 202201044001.

It is a junction number, because it is equal to n+sod(n) for n = 1004401021985 and 1004401022003.

It is not an unprimeable number, because it can be changed into a prime (1004401022021) 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, 3259744 + ... + 3554536.

It is an arithmetic number, because the mean of its divisors is an integer number (25406526096).

Almost surely, 2^{1004401022020} is an apocalyptic number.

1004401022020 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 1004401022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219513252608).

1004401022020 is an abundant number, since it is smaller than the sum of its proper divisors (1434625483196).

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

1004401022020 is a wasteful number, since it uses less digits than its factorization.

1004401022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295741 (or 295739 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1004401022020 its reverse (202201044001), we get a palindrome (1206602066021).

The spelling of 1004401022020 in words is "one trillion, four billion, four hundred one million, twenty-two thousand, twenty".