1005401204463 has 16 divisors (see below), whose sum is σ = 1343080673280. Its totient is φ = 668995336416.

The previous prime is 1005401204453. The next prime is 1005401204579. The reversal of 1005401204463 is 3644021045001.

It is not a de Polignac number, because 1005401204463 - 2²⁰ = 1005400155887 is a prime.

It is a super-2 number, since 2×1005401204463² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005401204463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005401204413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5498181 + ... + 5678097.

It is an arithmetic number, because the mean of its divisors is an integer number (83942542080).

Almost surely, 2^{1005401204463} is an apocalyptic number.

1005401204463 is a deficient number, since it is larger than the sum of its proper divisors (337679468817).

1005401204463 is a wasteful number, since it uses less digits than its factorization.

1005401204463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183446.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1005401204463 its reverse (3644021045001), we get a palindrome (4649422249464).

The spelling of 1005401204463 in words is "one trillion, five billion, four hundred one million, two hundred four thousand, four hundred sixty-three".