4340144160 has 864 divisors, whose sum is σ = 18388218240. Its totient is φ = 953441280.

The previous prime is 4340144153. The next prime is 4340144167. The reversal of 4340144160 is 614410434.

It is an interprime number because it is at equal distance from previous prime (4340144153) and next prime (4340144167).

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4340144167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188701909 + ... + 188701931.

It is an arithmetic number, because the mean of its divisors is an integer number (21282660).

Almost surely, 2^4340144160 is an apocalyptic number.

4340144160 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 4340144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194109120).

4340144160 is an abundant number, since it is smaller than the sum of its proper divisors (14048074080).

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

4340144160 is a wasteful number, since it uses less digits than its factorization.

4340144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4340144160 is about 65879.7704914035. The cubic root of 4340144160 is about 1631.1781112460.

Adding to 4340144160 its reverse (614410434), we get a palindrome (4954554594).

The spelling of 4340144160 in words is "four billion, three hundred forty million, one hundred forty-four thousand, one hundred sixty".