4288394275200 has 960 divisors, whose sum is σ = 18669508408320. Its totient is φ = 948572467200.

The previous prime is 4288394275183. The next prime is 4288394275219. The reversal of 4288394275200 is 25724938824.

4288394275200 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 3 + 9 + 427 + 5 + 200 = 666.

4288394275200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56208279 + ... + 56284521.

It is an arithmetic number, because the mean of its divisors is an integer number (19447404592).

Almost surely, 2^{4288394275200} is an apocalyptic number.

4288394275200 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 4288394275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334754204160).

4288394275200 is an abundant number, since it is smaller than the sum of its proper divisors (14381114133120).

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

4288394275200 is a wasteful number, since it uses less digits than its factorization.

4288394275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76317 (or 76291 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4288394275200 in words is "four trillion, two hundred eighty-eight billion, three hundred ninety-four million, two hundred seventy-five thousand, two hundred".