4484936601600 has 2808 divisors, whose sum is σ = 19578820437792. Its totient is φ = 901722931200.

The previous prime is 4484936601583. The next prime is 4484936601617. The reversal of 4484936601600 is 61066394844.

It is an interprime number because it is at equal distance from previous prime (4484936601583) and next prime (4484936601617).

It is a super-2 number, since 2×4484936601600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 104300851179 + ... + 104300851221.

Almost surely, 2^{4484936601600} is an apocalyptic number.

4484936601600 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 4484936601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9789410218896).

4484936601600 is an abundant number, since it is smaller than the sum of its proper divisors (15093883836192).

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

4484936601600 is a wasteful number, since it uses less digits than its factorization.

4484936601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 4484936601600 in words is "four trillion, four hundred eighty-four billion, nine hundred thirty-six million, six hundred one thousand, six hundred".