413022130000 has 100 divisors (see below), whose sum is σ = 1003865050980. Its totient is φ = 164564992000.

The previous prime is 413022129973. The next prime is 413022130019. The reversal of 413022130000 is 31220314.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 229012016704 + 184010113296 = 478552^2 + 428964^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2489646 + ... + 2650354.

Almost surely, 2^413022130000 is an apocalyptic number.

413022130000 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 413022130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501932525490).

413022130000 is an abundant number, since it is smaller than the sum of its proper divisors (590842920980).

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

413022130000 is a wasteful number, since it uses less digits than its factorization.

413022130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160994 (or 160973 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 413022130000 its reverse (31220314), we get a palindrome (413053350314).

The spelling of 413022130000 in words is "four hundred thirteen billion, twenty-two million, one hundred thirty thousand".