4871940480 has 768 divisors, whose sum is σ = 20146060800. Its totient is φ = 1103155200.

The previous prime is 4871940473. The next prime is 4871940481. The reversal of 4871940480 is 840491784.

4871940480 is a `hidden beast` number, since 4 + 87 + 1 + 94 + 0 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4871940481) 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 95 ways as a sum of consecutive naturals, for example, 68618845 + ... + 68618915.

It is an arithmetic number, because the mean of its divisors is an integer number (26231850).

Almost surely, 2^4871940480 is an apocalyptic number.

4871940480 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 4871940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073030400).

4871940480 is an abundant number, since it is smaller than the sum of its proper divisors (15274120320).

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

4871940480 is a wasteful number, since it uses less digits than its factorization.

4871940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4871940480 is about 69799.2871023766. The cubic root of 4871940480 is about 1695.2509300363.

The spelling of 4871940480 in words is "four billion, eight hundred seventy-one million, nine hundred forty thousand, four hundred eighty".