4971132320 has 288 divisors, whose sum is σ = 15171831360. Its totient is φ = 1521623040.

The previous prime is 4971132307. The next prime is 4971132343. The reversal of 4971132320 is 232311794.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5087672 + ... + 5088648.

It is an arithmetic number, because the mean of its divisors is an integer number (52679970).

Almost surely, 2^4971132320 is an apocalyptic number.

4971132320 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 4971132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585915680).

4971132320 is an abundant number, since it is smaller than the sum of its proper divisors (10200699040).

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

4971132320 is a wasteful number, since it uses less digits than its factorization.

4971132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 4971132320 is about 70506.2573109650. The cubic root of 4971132320 is about 1706.6787237375.

The spelling of 4971132320 in words is "four billion, nine hundred seventy-one million, one hundred thirty-two thousand, three hundred twenty".