4474887249600 has 1680 divisors, whose sum is σ = 17970922168320. Its totient is φ = 1088839065600.

The previous prime is 4474887249589. The next prime is 4474887249709. The reversal of 4474887249600 is 69427884744.

4474887249600 is a `hidden beast` number, since 4 + 4 + 74 + 8 + 8 + 72 + 496 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7299978894 + ... + 7299979506.

Almost surely, 2^{4474887249600} is an apocalyptic number.

4474887249600 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 4474887249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985461084160).

4474887249600 is an abundant number, since it is smaller than the sum of its proper divisors (13496034918720).

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

4474887249600 is a wasteful number, since it uses less digits than its factorization.

4474887249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 4474887249600 in words is "four trillion, four hundred seventy-four billion, eight hundred eighty-seven million, two hundred forty-nine thousand, six hundred".