30420748800 has 1200 divisors, whose sum is σ = 126568612632. Its totient is φ = 7166361600.

The previous prime is 30420748783. The next prime is 30420748859. The reversal of 30420748800 is 884702403.

It can be written as a sum of positive squares in 12 ways, for example, as 10969344 + 30409779456 = 3312^2 + 174384^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 498700770 + ... + 498700830.

Almost surely, 2^30420748800 is an apocalyptic number.

30420748800 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 30420748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63284306316).

30420748800 is an abundant number, since it is smaller than the sum of its proper divisors (96147863832).

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

30420748800 is a wasteful number, since it uses less digits than its factorization.

30420748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 30420748800 in words is "thirty billion, four hundred twenty million, seven hundred forty-eight thousand, eight hundred".