4241430324320 has 384 divisors, whose sum is σ = 11968525578240. Its totient is φ = 1389686538240.

The previous prime is 4241430324311. The next prime is 4241430324389. The reversal of 4241430324320 is 234230341424.

It is a super-2 number, since 2×4241430324320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1970008364 + ... + 1970010516.

It is an arithmetic number, because the mean of its divisors is an integer number (31168035360).

Almost surely, 2^{4241430324320} is an apocalyptic number.

4241430324320 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 4241430324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984262789120).

4241430324320 is an abundant number, since it is smaller than the sum of its proper divisors (7727095253920).

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

4241430324320 is a wasteful number, since it uses less digits than its factorization.

4241430324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4241430324320 its reverse (234230341424), we get a palindrome (4475660665744).

The spelling of 4241430324320 in words is "four trillion, two hundred forty-one billion, four hundred thirty million, three hundred twenty-four thousand, three hundred twenty".