4130330334400 has 126 divisors (see below), whose sum is σ = 10501618603020. Its totient is φ = 1598836953600.

The previous prime is 4130330334371. The next prime is 4130330334407. The reversal of 4130330334400 is 44330330314.

It is a happy number.

4130330334400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4130330334407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194491 + ... + 2880709.

Almost surely, 2^{4130330334400} is an apocalyptic number.

4130330334400 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 4130330334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250809301510).

4130330334400 is an abundant number, since it is smaller than the sum of its proper divisors (6371288268620).

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

4130330334400 is a wasteful number, since it uses less digits than its factorization.

4130330334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686303 (or 2686257 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 4130330334400 its reverse (44330330314), we get a palindrome (4174660664714).

The spelling of 4130330334400 in words is "four trillion, one hundred thirty billion, three hundred thirty million, three hundred thirty-four thousand, four hundred".