30441114400 has 144 divisors (see below), whose sum is σ = 77629406400. Its totient is φ = 11641512960.

The previous prime is 30441114367. The next prime is 30441114419. The reversal of 30441114400 is 441114403.

It is a super-2 number, since 2×30441114400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383231 + ... + 2395969.

It is an arithmetic number, because the mean of its divisors is an integer number (539093100).

Almost surely, 2^30441114400 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 30441114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38814703200).

30441114400 is an abundant number, since it is smaller than the sum of its proper divisors (47188292000).

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

30441114400 is a wasteful number, since it uses less digits than its factorization.

30441114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12891 (or 12878 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 30441114400 its reverse (441114403), we get a palindrome (30882228803).

The spelling of 30441114400 in words is "thirty billion, four hundred forty-one million, one hundred fourteen thousand, four hundred".