4172284771200 has 3456 divisors, whose sum is σ = 20061558165600. Its totient is φ = 838862438400.

The previous prime is 4172284771163. The next prime is 4172284771231. The reversal of 4172284771200 is 21774822714.

4172284771200 is a `hidden beast` number, since 4 + 172 + 2 + 8 + 477 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 431 ways as a sum of consecutive naturals, for example, 97029878379 + ... + 97029878421.

Almost surely, 2^{4172284771200} is an apocalyptic number.

4172284771200 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 4172284771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10030779082800).

4172284771200 is an abundant number, since it is smaller than the sum of its proper divisors (15889273394400).

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

4172284771200 is a wasteful number, since it uses less digits than its factorization.

4172284771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 4172284771200 in words is "four trillion, one hundred seventy-two billion, two hundred eighty-four million, seven hundred seventy-one thousand, two hundred".