4040960 has 144 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 1228800.

The previous prime is 4040941. The next prime is 4040963. The reversal of 4040960 is 690404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040963) 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, 98540 + ... + 98580.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

Almost surely, 2^4040960 is an apocalyptic number.

4040960 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 4040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

4040960 is an abundant number, since it is smaller than the sum of its proper divisors (8321152).

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

4040960 is a wasteful number, since it uses less digits than its factorization.

4040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4040960 is about 2010.2139189648. The cubic root of 4040960 is about 159.2800990830.

It can be divided in two parts, 40 and 40960, that multiplied together give a square (1638400 = 1280²).

The spelling of 4040960 in words is "four million, forty thousand, nine hundred sixty".