4312424000 has 224 divisors, whose sum is σ = 11627108064. Its totient is φ = 1577779200.

The previous prime is 4312423991. The next prime is 4312424009. The reversal of 4312424000 is 4242134.

It is an interprime number because it is at equal distance from previous prime (4312423991) and next prime (4312424009).

It can be written as a sum of positive squares in 16 ways, for example, as 556205056 + 3756218944 = 23584^2 + 61288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312424009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031572 + ... + 5032428.

Almost surely, 2^4312424000 is an apocalyptic number.

4312424000 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 4312424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813554032).

4312424000 is an abundant number, since it is smaller than the sum of its proper divisors (7314684064).

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

4312424000 is a wasteful number, since it uses less digits than its factorization.

4312424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4312424000 is about 65669.0490261584. The cubic root of 4312424000 is about 1627.6979560267.

Adding to 4312424000 its reverse (4242134), we get a palindrome (4316666134).

The spelling of 4312424000 in words is "four billion, three hundred twelve million, four hundred twenty-four thousand".