4241820346624 has 405 divisors, whose sum is σ = 10296838452201. Its totient is φ = 1743877416960.

The previous prime is 4241820346579. The next prime is 4241820346637. The reversal of 4241820346624 is 4266430281424.

The square root of 4241820346624 is 2059568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3795639097600 + 446181249024 = 1948240^2 + 667968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59743948509 + ... + 59743948579.

Almost surely, 2^{4241820346624} is an apocalyptic number.

4241820346624 is the 2059568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241820346624

4241820346624 is an abundant number, since it is smaller than the sum of its proper divisors (6055018105577).

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

4241820346624 is an frugal number, since it uses more digits than its factorization.

4241820346624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 46.

The spelling of 4241820346624 in words is "four trillion, two hundred forty-one billion, eight hundred twenty million, three hundred forty-six thousand, six hundred twenty-four".