4314012022320 has 1440 divisors, whose sum is σ = 18605426051520. Its totient is φ = 818915328000.

The previous prime is 4314012022297. The next prime is 4314012022357. The reversal of 4314012022320 is 232202104134.

It is a happy number.

It is a super-2 number, since 2×4314012022320² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1868345326 + ... + 1868347634.

It is an arithmetic number, because the mean of its divisors is an integer number (12920434758).

Almost surely, 2^{4314012022320} is an apocalyptic number.

4314012022320 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 4314012022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302713025760).

4314012022320 is an abundant number, since it is smaller than the sum of its proper divisors (14291414029200).

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

4314012022320 is a wasteful number, since it uses less digits than its factorization.

4314012022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4314012022320 its reverse (232202104134), we get a palindrome (4546214126454).

The spelling of 4314012022320 in words is "four trillion, three hundred fourteen billion, twelve million, twenty-two thousand, three hundred twenty".