5005414000 has 80 divisors (see below), whose sum is σ = 12119402880. Its totient is φ = 1999468800.

The previous prime is 5005413971. The next prime is 5005414027. The reversal of 5005414000 is 4145005.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5005414000² = 50108338622792000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2204866 + ... + 2207134.

It is an arithmetic number, because the mean of its divisors is an integer number (151492536).

Almost surely, 2^5005414000 is an apocalyptic number.

5005414000 is a gapful number since it is divisible by the number (50) 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 5005414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059701440).

5005414000 is an abundant number, since it is smaller than the sum of its proper divisors (7113988880).

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

5005414000 is a wasteful number, since it uses less digits than its factorization.

5005414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 5005414000 is about 70748.9505222516. The cubic root of 5005414000 is about 1710.5929113655.

Adding to 5005414000 its reverse (4145005), we get a palindrome (5009559005).

The spelling of 5005414000 in words is "five billion, five million, four hundred fourteen thousand".