4741476030720 has 1728 divisors, whose sum is σ = 20174892611328. Its totient is φ = 1059825254400.

The previous prime is 4741476030679. The next prime is 4741476030769. The reversal of 4741476030720 is 270306741474.

4741476030720 is a `hidden beast` number, since 4 + 7 + 4 + 14 + 7 + 603 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5381924680 + ... + 5381925560.

It is an arithmetic number, because the mean of its divisors is an integer number (11675285076).

Almost surely, 2^{4741476030720} is an apocalyptic number.

4741476030720 is a gapful number since it is divisible by the number (40) 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 4741476030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087446305664).

4741476030720 is an abundant number, since it is smaller than the sum of its proper divisors (15433416580608).

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

4741476030720 is an equidigital number, since it uses as much as digits as its factorization.

4741476030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 4741476030720 in words is "four trillion, seven hundred forty-one billion, four hundred seventy-six million, thirty thousand, seven hundred twenty".