1005413414136 has 64 divisors (see below), whose sum is σ = 2551690512000. Its totient is φ = 330086421888.

The previous prime is 1005413414119. The next prime is 1005413414147. The reversal of 1005413414136 is 6314143145001.

It is a super-2 number, since 2×1005413414136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005413414097 and 1005413414106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687286 + ... + 1575813.

It is an arithmetic number, because the mean of its divisors is an integer number (39870164250).

Almost surely, 2^{1005413414136} is an apocalyptic number.

It is an amenable number.

1005413414136 is an abundant number, since it is smaller than the sum of its proper divisors (1546277097864).

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

1005413414136 is a wasteful number, since it uses less digits than its factorization.

1005413414136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263388 (or 2263384 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 1005413414136 its reverse (6314143145001), we get a palindrome (7319556559137).

The spelling of 1005413414136 in words is "one trillion, five billion, four hundred thirteen million, four hundred fourteen thousand, one hundred thirty-six".