30142330400 has 216 divisors, whose sum is σ = 92184920100. Its totient is φ = 9539389440.

The previous prime is 30142330391. The next prime is 30142330433. The reversal of 30142330400 is 403324103.

It can be written as a sum of positive squares in 6 ways, for example, as 15504234256 + 14638096144 = 124516^2 + 120988^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480026 + ... + 539174.

Almost surely, 2^30142330400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30142330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46092460050).

30142330400 is an abundant number, since it is smaller than the sum of its proper divisors (62042589700).

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

30142330400 is a wasteful number, since it uses less digits than its factorization.

30142330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59196 (or 59176 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30142330400 its reverse (403324103), we get a palindrome (30545654503).

The spelling of 30142330400 in words is "thirty billion, one hundred forty-two million, three hundred thirty thousand, four hundred".