30413321344200 has 192 divisors, whose sum is σ = 99964593106560. Its totient is φ = 7622645944320.

The previous prime is 30413321344111. The next prime is 30413321344267. The reversal of 30413321344200 is 244312331403.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5364714 + ... + 9466086.

It is an arithmetic number, because the mean of its divisors is an integer number (520648922430).

Almost surely, 2^{30413321344200} is an apocalyptic number.

30413321344200 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 30413321344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49982296553280).

30413321344200 is an abundant number, since it is smaller than the sum of its proper divisors (69551271762360).

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

30413321344200 is a wasteful number, since it uses less digits than its factorization.

30413321344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102136 (or 4102127 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 30413321344200 its reverse (244312331403), we get a palindrome (30657633675603).

The spelling of 30413321344200 in words is "thirty trillion, four hundred thirteen billion, three hundred twenty-one million, three hundred forty-four thousand, two hundred".