413033102400 has 168 divisors, whose sum is σ = 1355444218240. Its totient is φ = 110113597440.

The previous prime is 413033102351. The next prime is 413033102407. The reversal of 413033102400 is 4201330314.

It is not an unprimeable number, because it can be changed into a prime (413033102407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23784921 + ... + 23802279.

Almost surely, 2^413033102400 is an apocalyptic number.

413033102400 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 413033102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677722109120).

413033102400 is an abundant number, since it is smaller than the sum of its proper divisors (942411115840).

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

413033102400 is a wasteful number, since it uses less digits than its factorization.

413033102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22341 (or 22326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 413033102400 its reverse (4201330314), we get a palindrome (417234432714).

The spelling of 413033102400 in words is "four hundred thirteen billion, thirty-three million, one hundred two thousand, four hundred".