413054204000 has 96 divisors (see below), whose sum is σ = 1017486943200. Its totient is φ = 164796326400.

The previous prime is 413054203987. The next prime is 413054204027. The reversal of 413054204000 is 402450314.

It is a super-2 number, since 2×413054204000² (a number of 24 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 15 ways as a sum of consecutive naturals, for example, 1423271 + ... + 1688729.

It is an arithmetic number, because the mean of its divisors is an integer number (10598822325).

Almost surely, 2^413054204000 is an apocalyptic number.

413054204000 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 413054204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508743471600).

413054204000 is an abundant number, since it is smaller than the sum of its proper divisors (604432739200).

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

413054204000 is a wasteful number, since it uses less digits than its factorization.

413054204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265873 (or 265855 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 413054204000 its reverse (402450314), we get a palindrome (413456654314).

The spelling of 413054204000 in words is "four hundred thirteen billion, fifty-four million, two hundred four thousand".