4199127448320 has 864 divisors, whose sum is σ = 17745684622848. Its totient is φ = 894867996672.

The previous prime is 4199127448289. The next prime is 4199127448339. The reversal of 4199127448320 is 238447219914.

4199127448320 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 1 + 274 + 48 + 320 = 666.

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, 146669847 + ... + 146698473.

It is an arithmetic number, because the mean of its divisors is an integer number (20538986832).

Almost surely, 2^{4199127448320} is an apocalyptic number.

4199127448320 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 4199127448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872842311424).

4199127448320 is an abundant number, since it is smaller than the sum of its proper divisors (13546557174528).

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

4199127448320 is a wasteful number, since it uses less digits than its factorization.

4199127448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28785 (or 28768 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4199127448320 in words is "four trillion, one hundred ninety-nine billion, one hundred twenty-seven million, four hundred forty-eight thousand, three hundred twenty".