4220302432000 has 288 divisors, whose sum is σ = 10612450779840. Its totient is φ = 1672257945600.

The previous prime is 4220302431973. The next prime is 4220302432037. The reversal of 4220302432000 is 2342030224.

It is a super-2 number, since 2×4220302432000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2904543274 + ... + 2904544726.

It is an arithmetic number, because the mean of its divisors is an integer number (36848787430).

Almost surely, 2^{4220302432000} is an apocalyptic number.

4220302432000 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 4220302432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306225389920).

4220302432000 is an abundant number, since it is smaller than the sum of its proper divisors (6392148347840).

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

4220302432000 is a wasteful number, since it uses less digits than its factorization.

4220302432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 4220302432000 its reverse (2342030224), we get a palindrome (4222644462224).

The spelling of 4220302432000 in words is "four trillion, two hundred twenty billion, three hundred two million, four hundred thirty-two thousand".