4227075514160 has 320 divisors, whose sum is σ = 10886517504000. Its totient is φ = 1519265341440.

The previous prime is 4227075514133. The next prime is 4227075514171. The reversal of 4227075514160 is 614155707224.

It is a happy number.

4227075514160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4227075514160² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2249640101 + ... + 2249641979.

It is an arithmetic number, because the mean of its divisors is an integer number (34020367200).

Almost surely, 2^{4227075514160} is an apocalyptic number.

4227075514160 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 4227075514160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443258752000).

4227075514160 is an abundant number, since it is smaller than the sum of its proper divisors (6659441989840).

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

4227075514160 is a wasteful number, since it uses less digits than its factorization.

4227075514160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 4227075514160 in words is "four trillion, two hundred twenty-seven billion, seventy-five million, five hundred fourteen thousand, one hundred sixty".