413041431314000 has 160 divisors (see below), whose sum is σ = 1002998340354816. Its totient is φ = 164512026585600.

The previous prime is 413041431313997. The next prime is 413041431314093. The reversal of 413041431314000 is 413134140314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773455082 + ... + 773988918.

Almost surely, 2^{413041431314000} is an apocalyptic number.

413041431314000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413041431314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501499170177408).

413041431314000 is an abundant number, since it is smaller than the sum of its proper divisors (589956909040816).

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

413041431314000 is a wasteful number, since it uses less digits than its factorization.

413041431314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535510 (or 535494 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 413041431314000 its reverse (413134140314), we get a palindrome (413454565454314).

The spelling of 413041431314000 in words is "four hundred thirteen trillion, forty-one billion, four hundred thirty-one million, three hundred fourteen thousand".