4449940185600 has 1440 divisors, whose sum is σ = 20233872282624. Its totient is φ = 908535398400.

The previous prime is 4449940185583. The next prime is 4449940185637. The reversal of 4449940185600 is 65810499444.

4449940185600 is a `hidden beast` number, since 44 + 499 + 40 + 18 + 5 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324972354 + ... + 324986046.

Almost surely, 2^{4449940185600} is an apocalyptic number.

4449940185600 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 4449940185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116936141312).

4449940185600 is an abundant number, since it is smaller than the sum of its proper divisors (15783932097024).

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

4449940185600 is a wasteful number, since it uses less digits than its factorization.

4449940185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13778 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4449940185600 in words is "four trillion, four hundred forty-nine billion, nine hundred forty million, one hundred eighty-five thousand, six hundred".