5014304000 has 144 divisors (see below), whose sum is σ = 12672930816. Its totient is φ = 1976576000.

The previous prime is 5014303967. The next prime is 5014304021. The reversal of 5014304000 is 4034105.

It is a self number, because there is not a number n which added to its sum of digits gives 5014304000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2270897 + ... + 2273103.

It is an arithmetic number, because the mean of its divisors is an integer number (88006464).

Almost surely, 2^5014304000 is an apocalyptic number.

5014304000 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 5014304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336465408).

5014304000 is an abundant number, since it is smaller than the sum of its proper divisors (7658626816).

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

5014304000 is an equidigital number, since it uses as much as digits as its factorization.

5014304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5014304000 is about 70811.7504373391. The cubic root of 5014304000 is about 1711.6050272344.

Adding to 5014304000 its reverse (4034105), we get a palindrome (5018338105).

The spelling of 5014304000 in words is "five billion, fourteen million, three hundred four thousand".