413133052200 has 384 divisors, whose sum is σ = 1432014059520. Its totient is φ = 97661491200.

The previous prime is 413133052153. The next prime is 413133052273. The reversal of 413133052200 is 2250331314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311327937 + ... + 311329263.

It is an arithmetic number, because the mean of its divisors is an integer number (3729203280).

Almost surely, 2^413133052200 is an apocalyptic number.

413133052200 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 413133052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716007029760).

413133052200 is an abundant number, since it is smaller than the sum of its proper divisors (1018881007320).

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

413133052200 is a wasteful number, since it uses less digits than its factorization.

413133052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 413133052200 its reverse (2250331314), we get a palindrome (415383383514).

The spelling of 413133052200 in words is "four hundred thirteen billion, one hundred thirty-three million, fifty-two thousand, two hundred".