4917371040 has 576 divisors, whose sum is σ = 18755362080. Its totient is φ = 1167851520.

The previous prime is 4917371027. The next prime is 4917371047. The reversal of 4917371040 is 401737194.

It can be written as a sum of positive squares in 16 ways, for example, as 253573776 + 4663797264 = 15924^2 + 68292^2 .

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 = 4917370986 and 4917371004.

It is not an unprimeable number, because it can be changed into a prime (4917371047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55251316 + ... + 55251404.

Almost surely, 2^4917371040 is an apocalyptic number.

4917371040 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 4917371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377681040).

4917371040 is an abundant number, since it is smaller than the sum of its proper divisors (13837991040).

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

4917371040 is a wasteful number, since it uses less digits than its factorization.

4917371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 4917371040 is about 70123.9690833313. The cubic root of 4917371040 is about 1700.5040074224.

The spelling of 4917371040 in words is "four billion, nine hundred seventeen million, three hundred seventy-one thousand, forty".