30642142200 has 384 divisors, whose sum is σ = 100964966400. Its totient is φ = 7676928000.

The previous prime is 30642142183. The next prime is 30642142211. The reversal of 30642142200 is 224124603.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128209681 + ... + 128209919.

It is an arithmetic number, because the mean of its divisors is an integer number (262929600).

Almost surely, 2^30642142200 is an apocalyptic number.

30642142200 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 30642142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50482483200).

30642142200 is an abundant number, since it is smaller than the sum of its proper divisors (70322824200).

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

30642142200 is a wasteful number, since it uses less digits than its factorization.

30642142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30642142200 its reverse (224124603), we get a palindrome (30866266803).

The spelling of 30642142200 in words is "thirty billion, six hundred forty-two million, one hundred forty-two thousand, two hundred".