30354441280080 has 160 divisors (see below), whose sum is σ = 95381430733440. Its totient is φ = 7984860119040.

The previous prime is 30354441280069. The next prime is 30354441280081. The reversal of 30354441280080 is 8008214445303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30354441280081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3070036 + ... + 8374604.

It is an arithmetic number, because the mean of its divisors is an integer number (596133942084).

Almost surely, 2^{30354441280080} is an apocalyptic number.

30354441280080 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 30354441280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47690715366720).

30354441280080 is an abundant number, since it is smaller than the sum of its proper divisors (65026989453360).

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

30354441280080 is a wasteful number, since it uses less digits than its factorization.

30354441280080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304909 (or 5304903 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 30354441280080 in words is "thirty trillion, three hundred fifty-four billion, four hundred forty-one million, two hundred eighty thousand, eighty".