413433414144 has 200 divisors, whose sum is σ = 1298939191440. Its totient is φ = 130557671424.

The previous prime is 413433414083. The next prime is 413433414223. The reversal of 413433414144 is 441414334314.

413433414144 is a `hidden beast` number, since 41 + 3 + 433 + 4 + 141 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413433414099 and 413433414108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 525627 + ... + 1050309.

Almost surely, 2^413433414144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413433414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649469595720).

413433414144 is an abundant number, since it is smaller than the sum of its proper divisors (885505777296).

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

413433414144 is an equidigital number, since it uses as much as digits as its factorization.

413433414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524732 (or 524707 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 413433414144 its reverse (441414334314), we get a palindrome (854847748458).

The spelling of 413433414144 in words is "four hundred thirteen billion, four hundred thirty-three million, four hundred fourteen thousand, one hundred forty-four".