413550200000 has 504 divisors, whose sum is σ = 1256564730960. Its totient is φ = 134265600000.

The previous prime is 413550199991. The next prime is 413550200003. The reversal of 413550200000 is 2055314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (413550200003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186198890 + ... + 186201110.

It is an arithmetic number, because the mean of its divisors is an integer number (2493183990).

Almost surely, 2^413550200000 is an apocalyptic number.

413550200000 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 413550200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628282365480).

413550200000 is an abundant number, since it is smaller than the sum of its proper divisors (843014530960).

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

413550200000 is an equidigital number, since it uses as much as digits as its factorization.

413550200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 413550200000 its reverse (2055314), we get a palindrome (413552255314).

The spelling of 413550200000 in words is "four hundred thirteen billion, five hundred fifty million, two hundred thousand".