30413344332000 has 384 divisors, whose sum is σ = 114051710223360. Its totient is φ = 6940379289600.

The previous prime is 30413344331933. The next prime is 30413344332031. The reversal of 30413344332000 is 23344331403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51703542 + ... + 52288458.

It is an arithmetic number, because the mean of its divisors is an integer number (297009662040).

Almost surely, 2^{30413344332000} is an apocalyptic number.

30413344332000 is a gapful number since it is divisible by the number (30) 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 30413344332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57025855111680).

30413344332000 is an abundant number, since it is smaller than the sum of its proper divisors (83638365891360).

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

30413344332000 is a wasteful number, since it uses less digits than its factorization.

30413344332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585571 (or 585553 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 30413344332000 its reverse (23344331403), we get a palindrome (30436688663403).

The spelling of 30413344332000 in words is "thirty trillion, four hundred thirteen billion, three hundred forty-four million, three hundred thirty-two thousand".