413330220000 has 360 divisors, whose sum is σ = 1500071148576. Its totient is φ = 107874048000.

The previous prime is 413330219959. The next prime is 413330220007. The reversal of 413330220000 is 22033314.

413330220000 is a `hidden beast` number, since 413 + 3 + 30 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413330220007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 8435572 + ... + 8484428.

Almost surely, 2^413330220000 is an apocalyptic number.

413330220000 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 413330220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750035574288).

413330220000 is an abundant number, since it is smaller than the sum of its proper divisors (1086740928576).

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

413330220000 is a wasteful number, since it uses less digits than its factorization.

413330220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48940 (or 48914 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 413330220000 its reverse (22033314), we get a palindrome (413352253314).

The spelling of 413330220000 in words is "four hundred thirteen billion, three hundred thirty million, two hundred twenty thousand".