405152204201000 has 256 divisors, whose sum is σ = 986558636044800. Its totient is φ = 155608729344000.

The previous prime is 405152204200927. The next prime is 405152204201011. The reversal of 405152204201000 is 102402251504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858645140 + ... + 859116860.

It is an arithmetic number, because the mean of its divisors is an integer number (3853744672050).

Almost surely, 2^{405152204201000} is an apocalyptic number.

405152204201000 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 405152204201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493279318022400).

405152204201000 is an abundant number, since it is smaller than the sum of its proper divisors (581406431843800).

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

405152204201000 is a wasteful number, since it uses less digits than its factorization.

405152204201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472085 (or 472071 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 405152204201000 its reverse (102402251504), we get a palindrome (405254606452504).

The spelling of 405152204201000 in words is "four hundred five trillion, one hundred fifty-two billion, two hundred four million, two hundred one thousand".