4229895168000 has 1344 divisors, whose sum is σ = 16075450460160. Its totient is φ = 1109458944000.

The previous prime is 4229895167983. The next prime is 4229895168011. The reversal of 4229895168000 is 8615989224.

It is a happy number.

4229895168000 is a `hidden beast` number, since 42 + 2 + 9 + 8 + 9 + 516 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22146047905 + ... + 22146048095.

It is an arithmetic number, because the mean of its divisors is an integer number (11960900640).

Almost surely, 2^{4229895168000} is an apocalyptic number.

4229895168000 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 4229895168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037725230080).

4229895168000 is an abundant number, since it is smaller than the sum of its proper divisors (11845555292160).

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

4229895168000 is an frugal number, since it uses more digits than its factorization.

4229895168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 4229895168000 in words is "four trillion, two hundred twenty-nine billion, eight hundred ninety-five million, one hundred sixty-eight thousand".