4219193160 has 288 divisors, whose sum is σ = 16971215040. Its totient is φ = 890113536.

The previous prime is 4219193141. The next prime is 4219193171. The reversal of 4219193160 is 613919124.

It is a happy number.

4219193160 is a `hidden beast` number, since 421 + 91 + 93 + 1 + 60 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 420927 + ... + 430833.

It is an arithmetic number, because the mean of its divisors is an integer number (58927830).

Almost surely, 2^4219193160 is an apocalyptic number.

4219193160 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 4219193160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485607520).

4219193160 is an abundant number, since it is smaller than the sum of its proper divisors (12752021880).

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

4219193160 is a wasteful number, since it uses less digits than its factorization.

4219193160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4219193160 is about 64955.3166415190. The cubic root of 4219193160 is about 1615.8825938705.

The spelling of 4219193160 in words is "four billion, two hundred nineteen million, one hundred ninety-three thousand, one hundred sixty".