4312126368 has 216 divisors, whose sum is σ = 13980998304. Its totient is φ = 1306419840.

The previous prime is 4312126363. The next prime is 4312126393. The reversal of 4312126368 is 8636212134.

4312126368 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 12 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4312126363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 938605 + ... + 943187.

It is an arithmetic number, because the mean of its divisors is an integer number (64726844).

Almost surely, 2^4312126368 is an apocalyptic number.

4312126368 is a gapful number since it is divisible by the number (48) 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 4312126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990499152).

4312126368 is an abundant number, since it is smaller than the sum of its proper divisors (9668871936).

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

4312126368 is a wasteful number, since it uses less digits than its factorization.

4312126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4599 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4312126368 is about 65666.7828357686. The cubic root of 4312126368 is about 1627.6605087083.

It can be divided in two parts, 431212 and 6368, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 4312126368 in words is "four billion, three hundred twelve million, one hundred twenty-six thousand, three hundred sixty-eight".