30138544800 has 1440 divisors, whose sum is σ = 142922102400. Its totient is φ = 6001827840.

The previous prime is 30138544771. The next prime is 30138544841. The reversal of 30138544800 is 844583103.

30138544800 is a `hidden beast` number, since 3 + 0 + 1 + 38 + 544 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 112039066 + ... + 112039334.

It is an arithmetic number, because the mean of its divisors is an integer number (99251460).

Almost surely, 2^30138544800 is an apocalyptic number.

30138544800 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 30138544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71461051200).

30138544800 is an abundant number, since it is smaller than the sum of its proper divisors (112783557600).

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

30138544800 is a wasteful number, since it uses less digits than its factorization.

30138544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 30138544800 in words is "thirty billion, one hundred thirty-eight million, five hundred forty-four thousand, eight hundred".