4140960 has 48 divisors (see below), whose sum is σ = 13045536. Its totient is φ = 1104128.

The previous prime is 4140947. The next prime is 4140967. The reversal of 4140960 is 690414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4140960.

It is not an unprimeable number, because it can be changed into a prime (4140967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3834 + ... + 4793.

It is an arithmetic number, because the mean of its divisors is an integer number (271782).

Almost surely, 2^4140960 is an apocalyptic number.

4140960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140960 is an abundant number, since it is smaller than the sum of its proper divisors (8904576).

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

4140960 is a wasteful number, since it uses less digits than its factorization.

4140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4140960 is about 2034.9348883932. The cubic root of 4140960 is about 160.5832876795.

The spelling of 4140960 in words is "four million, one hundred forty thousand, nine hundred sixty".