4040160 has 96 divisors (see below), whose sum is σ = 13426560. Its totient is φ = 1018368.

The previous prime is 4040159. The next prime is 4040161. The reversal of 4040160 is 610404.

4040160 = 666² + 667² + ... + 674².

It is an interprime number because it is at equal distance from previous prime (4040159) and next prime (4040161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8899 + ... + 9341.

It is an arithmetic number, because the mean of its divisors is an integer number (139860).

Almost surely, 2^4040160 is an apocalyptic number.

4040160 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 4040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713280).

4040160 is an abundant number, since it is smaller than the sum of its proper divisors (9386400).

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

4040160 is a wasteful number, since it uses less digits than its factorization.

4040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4040160 is about 2010.0149253177. The cubic root of 4040160 is about 159.2695873491.

Adding to 4040160 its reverse (610404), we get a palindrome (4650564).

The spelling of 4040160 in words is "four million, forty thousand, one hundred sixty".