4512314400 has 144 divisors (see below), whose sum is σ = 16022911968. Its totient is φ = 1093888000.

The previous prime is 4512314381. The next prime is 4512314419. The reversal of 4512314400 is 44132154.

It is an interprime number because it is at equal distance from previous prime (4512314381) and next prime (4512314419).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 59061 + ... + 111860.

It is an arithmetic number, because the mean of its divisors is an integer number (111270222).

Almost surely, 2^4512314400 is an apocalyptic number.

4512314400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4512314400 is an abundant number, since it is smaller than the sum of its proper divisors (11510597568).

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

4512314400 is a wasteful number, since it uses less digits than its factorization.

4512314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170955 (or 170942 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4512314400 is about 67173.7627351632. The cubic root of 4512314400 is about 1652.4682251476.

Adding to 4512314400 its reverse (44132154), we get a palindrome (4556446554).

The spelling of 4512314400 in words is "four billion, five hundred twelve million, three hundred fourteen thousand, four hundred".