4221009777600 has 2016 divisors, whose sum is σ = 20134779005952. Its totient is φ = 811745280000.

The previous prime is 4221009777581. The next prime is 4221009777653. The reversal of 4221009777600 is 67779001224.

4221009777600 is a `hidden beast` number, since 4 + 22 + 10 + 0 + 9 + 7 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1149823765 + ... + 1149827435.

Almost surely, 2^{4221009777600} is an apocalyptic number.

4221009777600 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 4221009777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067389502976).

4221009777600 is an abundant number, since it is smaller than the sum of its proper divisors (15913769228352).

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

4221009777600 is a wasteful number, since it uses less digits than its factorization.

4221009777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 4221009777600 in words is "four trillion, two hundred twenty-one billion, nine million, seven hundred seventy-seven thousand, six hundred".