4405201241556 has 288 divisors, whose sum is σ = 11198183592960. Its totient is φ = 1343952000000.

The previous prime is 4405201241531. The next prime is 4405201241563. The reversal of 4405201241556 is 6551421025044.

It is a super-2 number, since 2×4405201241556² (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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17550602431 + ... + 17550602681.

It is an arithmetic number, because the mean of its divisors is an integer number (38882581920).

Almost surely, 2^{4405201241556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4405201241556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599091796480).

4405201241556 is an abundant number, since it is smaller than the sum of its proper divisors (6792982351404).

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

4405201241556 is a wasteful number, since it uses less digits than its factorization.

4405201241556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 4405201241556 in words is "four trillion, four hundred five billion, two hundred one million, two hundred forty-one thousand, five hundred fifty-six".