5141314800 has 90 divisors (see below), whose sum is σ = 17841802992. Its totient is φ = 1371016320.

The previous prime is 5141314781. The next prime is 5141314813. The reversal of 5141314800 is 84131415.

It is a happy number.

5141314800 is a `hidden beast` number, since 51 + 4 + 131 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 710472 + ... + 717671.

Almost surely, 2^5141314800 is an apocalyptic number.

5141314800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5141314800 is an abundant number, since it is smaller than the sum of its proper divisors (12700488192).

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

5141314800 is a wasteful number, since it uses less digits than its factorization.

5141314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428167 (or 1428153 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5141314800 is about 71702.9622819030. The cubic root of 5141314800 is about 1725.9361774041.

The spelling of 5141314800 in words is "five billion, one hundred forty-one million, three hundred fourteen thousand, eight hundred".