4287324211200 has 1152 divisors, whose sum is σ = 16387482384000. Its totient is φ = 1097780428800.

The previous prime is 4287324211193. The next prime is 4287324211211. The reversal of 4287324211200 is 21124237824.

4287324211200 is a `hidden beast` number, since 4 + 2 + 87 + 32 + 421 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4287324211200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 3797452236 + ... + 3797453364.

It is an arithmetic number, because the mean of its divisors is an integer number (14225245125).

Almost surely, 2^{4287324211200} is an apocalyptic number.

4287324211200 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 4287324211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193741192000).

4287324211200 is an abundant number, since it is smaller than the sum of its proper divisors (12100158172800).

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

4287324211200 is a wasteful number, since it uses less digits than its factorization.

4287324211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 4287324211200 in words is "four trillion, two hundred eighty-seven billion, three hundred twenty-four million, two hundred eleven thousand, two hundred".