413324898000 has 960 divisors, whose sum is σ = 1659821978880. Its totient is φ = 87962112000.

The previous prime is 413324897989. The next prime is 413324898011. The reversal of 413324898000 is 898423314.

It is an interprime number because it is at equal distance from previous prime (413324897989) and next prime (413324898011).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 340745394 + ... + 340746606.

It is an arithmetic number, because the mean of its divisors is an integer number (1728981228).

Almost surely, 2^413324898000 is an apocalyptic number.

413324898000 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 413324898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829910989440).

413324898000 is an abundant number, since it is smaller than the sum of its proper divisors (1246497080880).

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

413324898000 is a wasteful number, since it uses less digits than its factorization.

413324898000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 413324898000 in words is "four hundred thirteen billion, three hundred twenty-four million, eight hundred ninety-eight thousand".