5140171008 has 576 divisors, whose sum is σ = 18837504000. Its totient is φ = 1350328320.

The previous prime is 5140170979. The next prime is 5140171009. The reversal of 5140171008 is 8001710415.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5140171009) 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, 34497718 + ... + 34497866.

It is an arithmetic number, because the mean of its divisors is an integer number (32704000).

Almost surely, 2^5140171008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140171008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418752000).

5140171008 is an abundant number, since it is smaller than the sum of its proper divisors (13697332992).

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

5140171008 is a wasteful number, since it uses less digits than its factorization.

5140171008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 5140171008 is about 71694.9859334668. The cubic root of 5140171008 is about 1725.8081778241.

The spelling of 5140171008 in words is "five billion, one hundred forty million, one hundred seventy-one thousand, eight".