30124144400 has 240 divisors, whose sum is σ = 85890336000. Its totient is φ = 9934202880.

The previous prime is 30124144387. The next prime is 30124144409. The reversal of 30124144400 is 444142103.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30124144409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28338269 + ... + 28339331.

It is an arithmetic number, because the mean of its divisors is an integer number (357876400).

Almost surely, 2^30124144400 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 30124144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42945168000).

30124144400 is an abundant number, since it is smaller than the sum of its proper divisors (55766191600).

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

30124144400 is a wasteful number, since it uses less digits than its factorization.

30124144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 30124144400 its reverse (444142103), we get a palindrome (30568286503).

The spelling of 30124144400 in words is "thirty billion, one hundred twenty-four million, one hundred forty-four thousand, four hundred".