4214031446160 has 120 divisors (see below), whose sum is σ = 14154048275640. Its totient is φ = 1123588786176.

The previous prime is 4214031446129. The next prime is 4214031446173. The reversal of 4214031446160 is 616441304124.

4214031446160 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 0 + 31 + 4 + 4 + 616 + 0 = 666.

4214031446160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1882998706176 + 2331032739984 = 1372224^2 + 1526772^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4214031446160² (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4945686 + ... + 5734794.

It is an arithmetic number, because the mean of its divisors is an integer number (117950402297).

Almost surely, 2^{4214031446160} is an apocalyptic number.

4214031446160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214031446160 is an abundant number, since it is smaller than the sum of its proper divisors (9940016829480).

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

4214031446160 is a wasteful number, since it uses less digits than its factorization.

4214031446160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796545 (or 796536 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4214031446160 in words is "four trillion, two hundred fourteen billion, thirty-one million, four hundred forty-six thousand, one hundred sixty".