20413666041664 has 224 divisors, whose sum is σ = 47090943095040. Its totient is φ = 8599634706432.

The previous prime is 20413666041647. The next prime is 20413666041677. The reversal of 20413666041664 is 46614066631402.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×20413666041664² (a number of 27 digits) contains 22 as substring.

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, 7682974224 + ... + 7682976880.

Almost surely, 2^{20413666041664} 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 20413666041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23545471547520).

20413666041664 is an abundant number, since it is smaller than the sum of its proper divisors (26677277053376).

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

20413666041664 is a wasteful number, since it uses less digits than its factorization.

20413666041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 49.

The spelling of 20413666041664 in words is "twenty trillion, four hundred thirteen billion, six hundred sixty-six million, forty-one thousand, six hundred sixty-four".