30130016400 has 405 divisors, whose sum is σ = 115367720377. Its totient is φ = 7276473600.

The previous prime is 30130016381. The next prime is 30130016401. The reversal of 30130016400 is 461003103.

The square root of 30130016400 is 173580.

It is a perfect power (a square), and thus also a powerful number.

30130016400 is a `hidden beast` number, since 301 + 300 + 1 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10846805904 + 19283210496 = 104148^2 + 138864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30130016401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 114562669 + ... + 114562931.

Almost surely, 2^30130016400 is an apocalyptic number.

30130016400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30130016400 is the 173580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30130016400

30130016400 is an abundant number, since it is smaller than the sum of its proper divisors (85237703977).

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

30130016400 is a wasteful number, since it uses less digits than its factorization.

30130016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30130016400 its reverse (461003103), we get a palindrome (30591019503).

The spelling of 30130016400 in words is "thirty billion, one hundred thirty million, sixteen thousand, four hundred".