4241705011600 has 405 divisors, whose sum is σ = 12150893289987. Its totient is φ = 1418808867840.

The previous prime is 4241705011573. The next prime is 4241705011603. The reversal of 4241705011600 is 61105071424.

The square root of 4241705011600 is 2059540.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2382910894224 + 1858794117376 = 1543668^2 + 1363376^2 .

It is a super-2 number, since 2×4241705011600² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4241705011603) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 13551773044 + ... + 13551773356.

Almost surely, 2^{4241705011600} is an apocalyptic number.

4241705011600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4241705011600 is the 2059540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241705011600

4241705011600 is an abundant number, since it is smaller than the sum of its proper divisors (7909188278387).

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

4241705011600 is an equidigital number, since it uses as much as digits as its factorization.

4241705011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 4241705011600 in words is "four trillion, two hundred forty-one billion, seven hundred five million, eleven thousand, six hundred".