413133554030000 has 200 divisors, whose sum is σ = 1002678686800560. Its totient is φ = 164850325120000.

The previous prime is 413133554029981. The next prime is 413133554030033. The reversal of 413133554030000 is 30455331314.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20961660146 + ... + 20961679854.

Almost surely, 2^{413133554030000} is an apocalyptic number.

413133554030000 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 413133554030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501339343400280).

413133554030000 is an abundant number, since it is smaller than the sum of its proper divisors (589545132770560).

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

413133554030000 is a wasteful number, since it uses less digits than its factorization.

413133554030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24745 (or 24724 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 413133554030000 in words is "four hundred thirteen trillion, one hundred thirty-three billion, five hundred fifty-four million, thirty thousand".