4140160 has 32 divisors (see below), whose sum is σ = 9899100. Its totient is φ = 1655808.

The previous prime is 4140133. The next prime is 4140173. The reversal of 4140160 is 610414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3655744 + 484416 = 1912^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2595 + ... + 3874.

Almost surely, 2^4140160 is an apocalyptic number.

4140160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140160 is an abundant number, since it is smaller than the sum of its proper divisors (5758940).

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

4140160 is an equidigital number, since it uses as much as digits as its factorization.

4140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4140160 is about 2034.7383124127. The cubic root of 4140160 is about 160.5729458824.

Adding to 4140160 its reverse (610414), we get a palindrome (4750574).

The spelling of 4140160 in words is "four million, one hundred forty thousand, one hundred sixty".