1005505440404 has 12 divisors (see below), whose sum is σ = 1760296802964. Its totient is φ = 502563496704.

The previous prime is 1005505440383. The next prime is 1005505440421. The reversal of 1005505440404 is 4040445055001.

1005505440404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 889362163600 + 116143276804 = 943060^2 + 340798^2 .

It is a super-2 number, since 2×1005505440404² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47293919 + ... + 47315174.

It is an arithmetic number, because the mean of its divisors is an integer number (146691400247).

Almost surely, 2^{1005505440404} is an apocalyptic number.

It is an amenable number.

1005505440404 is a deficient number, since it is larger than the sum of its proper divisors (754791362560).

1005505440404 is a wasteful number, since it uses less digits than its factorization.

1005505440404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94611754 (or 94611752 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 1005505440404 in words is "one trillion, five billion, five hundred five million, four hundred forty thousand, four hundred four".