4971640128 has 448 divisors, whose sum is σ = 17085186048. Its totient is φ = 1240842240.

The previous prime is 4971640127. The next prime is 4971640129. The reversal of 4971640128 is 8210461794.

It is an interprime number because it is at equal distance from previous prime (4971640127) and next prime (4971640129).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4971640128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971640127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36289276 + ... + 36289412.

It is an arithmetic number, because the mean of its divisors is an integer number (38136576).

Almost surely, 2^4971640128 is an apocalyptic number.

4971640128 is a gapful number since it is divisible by the number (48) 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 4971640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542593024).

4971640128 is an abundant number, since it is smaller than the sum of its proper divisors (12113545920).

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

4971640128 is a wasteful number, since it uses less digits than its factorization.

4971640128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4971640128 is about 70509.8583745564. The cubic root of 4971640128 is about 1706.7368349514.

The spelling of 4971640128 in words is "four billion, nine hundred seventy-one million, six hundred forty thousand, one hundred twenty-eight".