4140576 has 72 divisors (see below), whose sum is σ = 12855024. Its totient is φ = 1253760.

The previous prime is 4140569. The next prime is 4140589. The reversal of 4140576 is 6750414.

4140576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4140576² = 34288739223552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2515 + ... + 3821.

It is an arithmetic number, because the mean of its divisors is an integer number (178542).

Almost surely, 2^4140576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427512).

4140576 is an abundant number, since it is smaller than the sum of its proper divisors (8714448).

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

4140576 is a wasteful number, since it uses less digits than its factorization.

4140576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4140576 is about 2034.8405342926. The cubic root of 4140576 is about 160.5783237831.

The spelling of 4140576 in words is "four million, one hundred forty thousand, five hundred seventy-six".