5314212400 has 120 divisors (see below), whose sum is σ = 14630786784. Its totient is φ = 1817088000.

The previous prime is 5314212383. The next prime is 5314212413. The reversal of 5314212400 is 42124135.

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 23 ways as a sum of consecutive naturals, for example, 1120434 + ... + 1125166.

Almost surely, 2^5314212400 is an apocalyptic number.

5314212400 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 5314212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315393392).

5314212400 is an abundant number, since it is smaller than the sum of its proper divisors (9316574384).

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

5314212400 is a wasteful number, since it uses less digits than its factorization.

5314212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5314212400 is about 72898.6447061946. The cubic root of 5314212400 is about 1745.0704700293.

Adding to 5314212400 its reverse (42124135), we get a palindrome (5356336535).

The spelling of 5314212400 in words is "five billion, three hundred fourteen million, two hundred twelve thousand, four hundred".