4302223431000 has 512 divisors, whose sum is σ = 15400958976000. Its totient is φ = 990263040000.

The previous prime is 4302223430957. The next prime is 4302223431017. The reversal of 4302223431000 is 1343222034.

It is a super-2 number, since 2×4302223431000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54179326 + ... + 54258674.

It is an arithmetic number, because the mean of its divisors is an integer number (30079998000).

Almost surely, 2^{4302223431000} is an apocalyptic number.

4302223431000 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 4302223431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700479488000).

4302223431000 is an abundant number, since it is smaller than the sum of its proper divisors (11098735545000).

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

4302223431000 is a wasteful number, since it uses less digits than its factorization.

4302223431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79468 (or 79454 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4302223431000 its reverse (1343222034), we get a palindrome (4303566653034).

The spelling of 4302223431000 in words is "four trillion, three hundred two billion, two hundred twenty-three million, four hundred thirty-one thousand".