4488669561600 has 1296 divisors, whose sum is σ = 20021827687680. Its totient is φ = 971937792000.

The previous prime is 4488669561557. The next prime is 4488669561601. The reversal of 4488669561600 is 61659668844.

4488669561600 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 6 + 6 + 9 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4488669561601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 206830750 + ... + 206852450.

Almost surely, 2^{4488669561600} is an apocalyptic number.

4488669561600 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 4488669561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010913843840).

4488669561600 is an abundant number, since it is smaller than the sum of its proper divisors (15533158126080).

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

4488669561600 is a wasteful number, since it uses less digits than its factorization.

4488669561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21768 (or 21737 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 4488669561600 in words is "four trillion, four hundred eighty-eight billion, six hundred sixty-nine million, five hundred sixty-one thousand, six hundred".