30040014400 has 168 divisors, whose sum is σ = 80765696736. Its totient is φ = 10906214400.

The previous prime is 30040014379. The next prime is 30040014401. The reversal of 30040014400 is 441004003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (30040014401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17194327 + ... + 17196073.

Almost surely, 2^30040014400 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 30040014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40382848368).

30040014400 is an abundant number, since it is smaller than the sum of its proper divisors (50725682336).

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

30040014400 is a wasteful number, since it uses less digits than its factorization.

30040014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30040014400 its reverse (441004003), we get a palindrome (30481018403).

The spelling of 30040014400 in words is "thirty billion, forty million, fourteen thousand, four hundred".