30444480000 has 900 divisors, whose sum is σ = 123765760404. Its totient is φ = 7142400000.

The previous prime is 30444479959. The next prime is 30444480029. The reversal of 30444480000 is 8444403.

It is a tau number, because it is divible by the number of its divisors (900).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 982079985 + ... + 982080015.

Almost surely, 2^30444480000 is an apocalyptic number.

30444480000 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 30444480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61882880202).

30444480000 is an abundant number, since it is smaller than the sum of its proper divisors (93321280404).

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

30444480000 is an equidigital number, since it uses as much as digits as its factorization.

30444480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 30444480000 in words is "thirty billion, four hundred forty-four million, four hundred eighty thousand".