4241345680 has 360 divisors, whose sum is σ = 12449738880. Its totient is φ = 1331665920.

The previous prime is 4241345651. The next prime is 4241345681. The reversal of 4241345680 is 865431424.

It is not an unprimeable number, because it can be changed into a prime (4241345681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53687881 + ... + 53687959.

It is an arithmetic number, because the mean of its divisors is an integer number (34582608).

Almost surely, 2^4241345680 is an apocalyptic number.

4241345680 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 4241345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224869440).

4241345680 is an abundant number, since it is smaller than the sum of its proper divisors (8208393200).

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

4241345680 is a wasteful number, since it uses less digits than its factorization.

4241345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 4241345680 is about 65125.6146228195. The cubic root of 4241345680 is about 1618.7056775330.

The spelling of 4241345680 in words is "four billion, two hundred forty-one million, three hundred forty-five thousand, six hundred eighty".