30242440404300 has 288 divisors, whose sum is σ = 94519937836800. Its totient is φ = 7442102154240.

The previous prime is 30242440404299. The next prime is 30242440404301. The reversal of 30242440404300 is 340404424203.

It is an interprime number because it is at equal distance from previous prime (30242440404299) and next prime (30242440404301).

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

It is not an unprimeable number, because it can be changed into a prime (30242440404301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41631802 + ... + 42351998.

It is an arithmetic number, because the mean of its divisors is an integer number (328194228600).

Almost surely, 2^{30242440404300} is an apocalyptic number.

30242440404300 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 30242440404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47259968918400).

30242440404300 is an abundant number, since it is smaller than the sum of its proper divisors (64277497432500).

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

30242440404300 is a wasteful number, since it uses less digits than its factorization.

30242440404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720425 (or 720418 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 30242440404300 its reverse (340404424203), we get a palindrome (30582844828503).

The spelling of 30242440404300 in words is "thirty trillion, two hundred forty-two billion, four hundred forty million, four hundred four thousand, three hundred".