4159040 has 56 divisors (see below), whose sum is σ = 10177272. Its totient is φ = 1617920.

The previous prime is 4159027. The next prime is 4159049. The reversal of 4159040 is 409514.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 222784 + 3936256 = 472^2 + 1984^2 .

It is a super-2 number, since 2×4159040² = 34595227443200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4158997 and 4159015.

It is not an unprimeable number, because it can be changed into a prime (4159049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12962 + ... + 13278.

It is an arithmetic number, because the mean of its divisors is an integer number (181737).

Almost surely, 2^4159040 is an apocalyptic number.

4159040 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 4159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088636).

4159040 is an abundant number, since it is smaller than the sum of its proper divisors (6018232).

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

4159040 is a wasteful number, since it uses less digits than its factorization.

4159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4159040 is about 2039.3724524961. The cubic root of 4159040 is about 160.8166579279.

The spelling of 4159040 in words is "four million, one hundred fifty-nine thousand, forty".