30136226400 has 648 divisors, whose sum is σ = 129075644880. Its totient is φ = 6479953920.

The previous prime is 30136226359. The next prime is 30136226413. The reversal of 30136226400 is 462263103.

30136226400 is a `hidden beast` number, since 3 + 0 + 1 + 36 + 226 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14564566 + ... + 14566634.

It is an arithmetic number, because the mean of its divisors is an integer number (199190810).

Almost surely, 2^30136226400 is an apocalyptic number.

30136226400 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 30136226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64537822440).

30136226400 is an abundant number, since it is smaller than the sum of its proper divisors (98939418480).

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

30136226400 is a wasteful number, since it uses less digits than its factorization.

30136226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30136226400 its reverse (462263103), we get a palindrome (30598489503).

The spelling of 30136226400 in words is "thirty billion, one hundred thirty-six million, two hundred twenty-six thousand, four hundred".