30420761472000 has 1056 divisors, whose sum is σ = 113985107780544. Its totient is φ = 7795408896000.

The previous prime is 30420761471987. The next prime is 30420761472029. The reversal of 30420761472000 is 27416702403.

30420761472000 is a `hidden beast` number, since 3 + 0 + 420 + 76 + 147 + 20 + 0 + 0 = 666.

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

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, 3164539194 + ... + 3164548806.

It is an arithmetic number, because the mean of its divisors is an integer number (107940442974).

Almost surely, 2^{30420761472000} is an apocalyptic number.

30420761472000 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 30420761472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56992553890272).

30420761472000 is an abundant number, since it is smaller than the sum of its proper divisors (83564346308544).

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

30420761472000 is a wasteful number, since it uses less digits than its factorization.

30420761472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9762 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 30420761472000 in words is "thirty trillion, four hundred twenty billion, seven hundred sixty-one million, four hundred seventy-two thousand".