413101200000 has 192 divisors, whose sum is σ = 1371541278240. Its totient is φ = 110160000000.

The previous prime is 413101199969. The next prime is 413101200011. The reversal of 413101200000 is 2101314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027875 + ... + 1372125.

Almost surely, 2^413101200000 is an apocalyptic number.

413101200000 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 413101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685770639120).

413101200000 is an abundant number, since it is smaller than the sum of its proper divisors (958440078240).

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

413101200000 is an frugal number, since it uses more digits than its factorization.

413101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344293 (or 344261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 413101200000 its reverse (2101314), we get a palindrome (413103301314).

The spelling of 413101200000 in words is "four hundred thirteen billion, one hundred one million, two hundred thousand".