30078144000 has 480 divisors, whose sum is σ = 109873146240. Its totient is φ = 7907328000.

The previous prime is 30078143981. The next prime is 30078144037. The reversal of 30078144000 is 44187003.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45503670 + ... + 45504330.

It is an arithmetic number, because the mean of its divisors is an integer number (228902388).

Almost surely, 2^30078144000 is an apocalyptic number.

30078144000 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 30078144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54936573120).

30078144000 is an abundant number, since it is smaller than the sum of its proper divisors (79795002240).

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

30078144000 is an equidigital number, since it uses as much as digits as its factorization.

30078144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 30078144000 in words is "thirty billion, seventy-eight million, one hundred forty-four thousand".