4249721548800 has 3744 divisors, whose sum is σ = 20749205299200. Its totient is φ = 842764124160.

The previous prime is 4249721548763. The next prime is 4249721548913. The reversal of 4249721548800 is 88451279424.

4249721548800 is a `hidden beast` number, since 4 + 2 + 4 + 97 + 2 + 1 + 548 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33462374337 + ... + 33462374463.

Almost surely, 2^{4249721548800} is an apocalyptic number.

4249721548800 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 4249721548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374602649600).

4249721548800 is an abundant number, since it is smaller than the sum of its proper divisors (16499483750400).

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

4249721548800 is a wasteful number, since it uses less digits than its factorization.

4249721548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4249721548800 in words is "four trillion, two hundred forty-nine billion, seven hundred twenty-one million, five hundred forty-eight thousand, eight hundred".