1004011441020 has 144 divisors (see below), whose sum is σ = 3480896922048. Its totient is φ = 229466972160.

The previous prime is 1004011440983. The next prime is 1004011441039. The reversal of 1004011441020 is 201441104001.

1004011441020 is a `hidden beast` number, since 100 + 40 + 114 + 410 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004011440984 and 1004011441002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16396060 + ... + 16457180.

It is an arithmetic number, because the mean of its divisors is an integer number (24172895292).

Almost surely, 2^{1004011441020} is an apocalyptic number.

1004011441020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004011441020 is an abundant number, since it is smaller than the sum of its proper divisors (2476885481028).

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

1004011441020 is a wasteful number, since it uses less digits than its factorization.

1004011441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74180 (or 74175 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1004011441020 its reverse (201441104001), we get a palindrome (1205452545021).

The spelling of 1004011441020 in words is "one trillion, four billion, eleven million, four hundred forty-one thousand, twenty".