30014144400 has 240 divisors, whose sum is σ = 100527672960. Its totient is φ = 7640371200.

The previous prime is 30014144359. The next prime is 30014144401. The reversal of 30014144400 is 444141003.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (30014144401) 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, 21002886 + ... + 21004314.

It is an arithmetic number, because the mean of its divisors is an integer number (418865304).

Almost surely, 2^30014144400 is an apocalyptic number.

30014144400 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 30014144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50263836480).

30014144400 is an abundant number, since it is smaller than the sum of its proper divisors (70513528560).

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

30014144400 is a wasteful number, since it uses less digits than its factorization.

30014144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 30014144400 its reverse (444141003), we get a palindrome (30458285403).

The spelling of 30014144400 in words is "thirty billion, fourteen million, one hundred forty-four thousand, four hundred".