413134211140 has 192 divisors, whose sum is σ = 1055686431744. Its totient is φ = 132575035392.

The previous prime is 413134211137. The next prime is 413134211263. The reversal of 413134211140 is 41112431314.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518361222 + ... + 518362018.

It is an arithmetic number, because the mean of its divisors is an integer number (5498366832).

Almost surely, 2^413134211140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413134211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527843215872).

413134211140 is an abundant number, since it is smaller than the sum of its proper divisors (642552220604).

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

413134211140 is a wasteful number, since it uses less digits than its factorization.

413134211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 413134211140 its reverse (41112431314), we get a palindrome (454246642454).

The spelling of 413134211140 in words is "four hundred thirteen billion, one hundred thirty-four million, two hundred eleven thousand, one hundred forty".