4312310400 has 480 divisors, whose sum is σ = 16161108480. Its totient is φ = 1132185600.

The previous prime is 4312310383. The next prime is 4312310417. The reversal of 4312310400 is 40132134.

4312310400 is a `hidden beast` number, since 4 + 31 + 231 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4312310383) and next prime (4312310417).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32918335 + ... + 32918465.

It is an arithmetic number, because the mean of its divisors is an integer number (33668976).

Almost surely, 2^4312310400 is an apocalyptic number.

4312310400 is a gapful number since it is divisible by the number (40) 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 4312310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080554240).

4312310400 is an abundant number, since it is smaller than the sum of its proper divisors (11848798080).

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

4312310400 is a wasteful number, since it uses less digits than its factorization.

4312310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4312310400 is about 65668.1840772227. The cubic root of 4312310400 is about 1627.6836633604.

Adding to 4312310400 its reverse (40132134), we get a palindrome (4352442534).

The spelling of 4312310400 in words is "four billion, three hundred twelve million, three hundred ten thousand, four hundred".