413666550000 has 720 divisors, whose sum is σ = 1590413269536. Its totient is φ = 99532800000.

The previous prime is 413666549951. The next prime is 413666550001. The reversal of 413666550000 is 55666314.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×413666550000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413666550001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 955349784 + ... + 955350216.

Almost surely, 2^413666550000 is an apocalyptic number.

413666550000 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 413666550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795206634768).

413666550000 is an abundant number, since it is smaller than the sum of its proper divisors (1176746719536).

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

413666550000 is a wasteful number, since it uses less digits than its factorization.

413666550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 413666550000 in words is "four hundred thirteen billion, six hundred sixty-six million, five hundred fifty thousand".