5140324800 has 672 divisors, whose sum is σ = 20609722560. Its totient is φ = 1254113280.

The previous prime is 5140324769. The next prime is 5140324807. The reversal of 5140324800 is 84230415.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140324807) 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, 45489544 + ... + 45489656.

It is an arithmetic number, because the mean of its divisors is an integer number (30669230).

Almost surely, 2^5140324800 is an apocalyptic number.

5140324800 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 5140324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304861280).

5140324800 is an abundant number, since it is smaller than the sum of its proper divisors (15469397760).

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

5140324800 is a wasteful number, since it uses less digits than its factorization.

5140324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5140324800 is about 71696.0584690679. The cubic root of 5140324800 is about 1725.8253894982.

The spelling of 5140324800 in words is "five billion, one hundred forty million, three hundred twenty-four thousand, eight hundred".