413311223000 has 128 divisors (see below), whose sum is σ = 1042513355520. Its totient is φ = 152465241600.

The previous prime is 413311222991. The next prime is 413311223029. The reversal of 413311223000 is 322113314.

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 31 ways as a sum of consecutive naturals, for example, 14506769 + ... + 14535231.

It is an arithmetic number, because the mean of its divisors is an integer number (8144635590).

Almost surely, 2^413311223000 is an apocalyptic number.

413311223000 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 413311223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521256677760).

413311223000 is an abundant number, since it is smaller than the sum of its proper divisors (629202132520).

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

413311223000 is a wasteful number, since it uses less digits than its factorization.

413311223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29614 (or 29600 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413311223000 its reverse (322113314), we get a palindrome (413633336314).

The spelling of 413311223000 in words is "four hundred thirteen billion, three hundred eleven million, two hundred twenty-three thousand".