4971573780480 has 1792 divisors, whose sum is σ = 19809327513600. Its totient is φ = 1191909261312.

The previous prime is 4971573780463. The next prime is 4971573780487. The reversal of 4971573780480 is 840873751794.

4971573780480 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 5 + 73 + 7 + 80 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971573780487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39146250177 + ... + 39146250303.

Almost surely, 2^{4971573780480} is an apocalyptic number.

4971573780480 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 4971573780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904663756800).

4971573780480 is an abundant number, since it is smaller than the sum of its proper divisors (14837753733120).

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

4971573780480 is an equidigital number, since it uses as much as digits as its factorization.

4971573780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 4971573780480 in words is "four trillion, nine hundred seventy-one billion, five hundred seventy-three million, seven hundred eighty thousand, four hundred eighty".