30420030942720 has 960 divisors, whose sum is σ = 109100050899840. Its totient is φ = 7830210871296.

The previous prime is 30420030942713. The next prime is 30420030942731. The reversal of 30420030942720 is 2724903002403.

It is a happy number.

30420030942720 is a `hidden beast` number, since 3 + 0 + 4 + 200 + 3 + 0 + 9 + 427 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15418159654 + ... + 15418161626.

It is an arithmetic number, because the mean of its divisors is an integer number (113645886354).

Almost surely, 2^{30420030942720} is an apocalyptic number.

30420030942720 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 30420030942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54550025449920).

30420030942720 is an abundant number, since it is smaller than the sum of its proper divisors (78680019957120).

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

30420030942720 is a wasteful number, since it uses less digits than its factorization.

30420030942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 30420030942720 in words is "thirty trillion, four hundred twenty billion, thirty million, nine hundred forty-two thousand, seven hundred twenty".