414322000020 has 480 divisors, whose sum is σ = 1348078152960. Its totient is φ = 106477977600.

The previous prime is 414322000013. The next prime is 414322000033. The reversal of 414322000020 is 20000223414.

414322000020 is a `hidden beast` number, since 414 + 32 + 200 + 0 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 414321999957 and 414322000002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1612147732 + ... + 1612147988.

It is an arithmetic number, because the mean of its divisors is an integer number (2808496152).

Almost surely, 2^414322000020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414322000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674039076480).

414322000020 is an abundant number, since it is smaller than the sum of its proper divisors (933756152940).

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

414322000020 is a wasteful number, since it uses less digits than its factorization.

414322000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 414322000020 its reverse (20000223414), we get a palindrome (434322223434).

The spelling of 414322000020 in words is "four hundred fourteen billion, three hundred twenty-two million, twenty", and thus it is an aban number.