4214864160 has 576 divisors, whose sum is σ = 16643128320. Its totient is φ = 1000304640.

The previous prime is 4214864123. The next prime is 4214864177. The reversal of 4214864160 is 614684124.

It is a happy number.

4214864160 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 8 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15668506 + ... + 15668774.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 2^4214864160 is an apocalyptic number.

4214864160 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 4214864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321564160).

4214864160 is an abundant number, since it is smaller than the sum of its proper divisors (12428264160).

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

4214864160 is a wasteful number, since it uses less digits than its factorization.

4214864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4214864160 is about 64921.9851822170. The cubic root of 4214864160 is about 1615.3297591419.

The spelling of 4214864160 in words is "four billion, two hundred fourteen million, eight hundred sixty-four thousand, one hundred sixty".