4971335040 has 512 divisors, whose sum is σ = 20433945600. Its totient is φ = 1118748672.

The previous prime is 4971335003. The next prime is 4971335051. The reversal of 4971335040 is 405331794.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4971334986 and 4971335004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8829799 + ... + 8830361.

It is an arithmetic number, because the mean of its divisors is an integer number (39910050).

Almost surely, 2^4971335040 is an apocalyptic number.

4971335040 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 4971335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10216972800).

4971335040 is an abundant number, since it is smaller than the sum of its proper divisors (15462610560).

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

4971335040 is a wasteful number, since it uses less digits than its factorization.

4971335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4971335040 is about 70507.6948992094. The cubic root of 4971335040 is about 1706.7019225573.

The spelling of 4971335040 in words is "four billion, nine hundred seventy-one million, three hundred thirty-five thousand, forty".