30140035200 has 1080 divisors, whose sum is σ = 126324658845. Its totient is φ = 7070976000.

The previous prime is 30140035183. The next prime is 30140035201. The reversal of 30140035200 is 253004103.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

30140035200 is a `hidden beast` number, since 3 + 0 + 140 + 0 + 3 + 520 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29537234496 + 602800704 = 171864^2 + 24552^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=122760.

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

It is not an unprimeable number, because it can be changed into a prime (30140035201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 972259185 + ... + 972259215.

Almost surely, 2^30140035200 is an apocalyptic number.

30140035200 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 30140035200

30140035200 is an abundant number, since it is smaller than the sum of its proper divisors (96184623645).

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

30140035200 is a wasteful number, since it uses less digits than its factorization.

30140035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Multiplying 30140035200 by its sum of digits (18), we get a square (542520633600 = 736560²).

30140035200 divided by its sum of digits (18) gives a square (1674446400 = 40920²).

Adding to 30140035200 its reverse (253004103), we get a palindrome (30393039303).

The spelling of 30140035200 in words is "thirty billion, one hundred forty million, thirty-five thousand, two hundred".