30301050400 has 216 divisors, whose sum is σ = 77267554560. Its totient is φ = 11596416000.

The previous prime is 30301050389. The next prime is 30301050401. The reversal of 30301050400 is 405010303.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30301050401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 300010350 + ... + 300010450.

It is an arithmetic number, because the mean of its divisors is an integer number (357720160).

Almost surely, 2^30301050400 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 30301050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38633777280).

30301050400 is an abundant number, since it is smaller than the sum of its proper divisors (46966504160).

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

30301050400 is a wasteful number, since it uses less digits than its factorization.

30301050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 30301050400 its reverse (405010303), we get a palindrome (30706060703).

The spelling of 30301050400 in words is "thirty billion, three hundred one million, fifty thousand, four hundred".