5214342400 has 54 divisors (see below), whose sum is σ = 12906328022. Its totient is φ = 2085734400.

The previous prime is 5214342377. The next prime is 5214342421. The reversal of 5214342400 is 42434125.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 46457856 + 5167884544 = 6816^2 + 71888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 400971 + ... + 413770.

Almost surely, 2^5214342400 is an apocalyptic number.

5214342400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5214342400 is an abundant number, since it is smaller than the sum of its proper divisors (7691985622).

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

5214342400 is an equidigital number, since it uses as much as digits as its factorization.

5214342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814767 (or 814748 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 5214342400 is about 72210.4036825719. The cubic root of 5214342400 is about 1734.0695623265.

Adding to 5214342400 its reverse (42434125), we get a palindrome (5256776525).

The spelling of 5214342400 in words is "five billion, two hundred fourteen million, three hundred forty-two thousand, four hundred".