413234120000 has 280 divisors, whose sum is σ = 1116032286600. Its totient is φ = 150847488000.

The previous prime is 413234119997. The next prime is 413234120023. The reversal of 413234120000 is 21432314.

It can be written as a sum of positive squares in 20 ways, for example, as 301234127104 + 111999992896 = 548848^2 + 334664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46275536 + ... + 46284464.

It is an arithmetic number, because the mean of its divisors is an integer number (3985829595).

Almost surely, 2^413234120000 is an apocalyptic number.

413234120000 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 413234120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558016143300).

413234120000 is an abundant number, since it is smaller than the sum of its proper divisors (702798166600).

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

413234120000 is an equidigital number, since it uses as much as digits as its factorization.

413234120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 413234120000 its reverse (21432314), we get a palindrome (413255552314).

The spelling of 413234120000 in words is "four hundred thirteen billion, two hundred thirty-four million, one hundred twenty thousand".