4342428388320 has 384 divisors, whose sum is σ = 15412542727680. Its totient is φ = 1027027865600.

The previous prime is 4342428388223. The next prime is 4342428388321. The reversal of 4342428388320 is 238838242434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342428388321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26111191 + ... + 26276969.

It is an arithmetic number, because the mean of its divisors is an integer number (40136830020).

Almost surely, 2^{4342428388320} is an apocalyptic number.

4342428388320 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 4342428388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706271363840).

4342428388320 is an abundant number, since it is smaller than the sum of its proper divisors (11070114339360).

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

4342428388320 is a wasteful number, since it uses less digits than its factorization.

4342428388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165871 (or 165841 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 51.

The spelling of 4342428388320 in words is "four trillion, three hundred forty-two billion, four hundred twenty-eight million, three hundred eighty-eight thousand, three hundred twenty".