413044113132400 has 120 divisors (see below), whose sum is σ = 1050878566877760. Its totient is φ = 155474210734080.

The previous prime is 413044113132397. The next prime is 413044113132437. The reversal of 413044113132400 is 4231311440314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37920856 + ... + 47582344.

It is an arithmetic number, because the mean of its divisors is an integer number (8757321390648).

Almost surely, 2^{413044113132400} is an apocalyptic number.

413044113132400 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 413044113132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525439283438880).

413044113132400 is an abundant number, since it is smaller than the sum of its proper divisors (637834453745360).

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

413044113132400 is a wasteful number, since it uses less digits than its factorization.

413044113132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9667811 (or 9667800 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 413044113132400 its reverse (4231311440314), we get a palindrome (417275424572714).

The spelling of 413044113132400 in words is "four hundred thirteen trillion, forty-four billion, one hundred thirteen million, one hundred thirty-two thousand, four hundred".