4148040 has 64 divisors (see below), whose sum is σ = 13406400. Its totient is φ = 1020672.

The previous prime is 4148029. The next prime is 4148041. The reversal of 4148040 is 408414.

It is a junction number, because it is equal to n+sod(n) for n = 4147998 and 4148016.

It is not an unprimeable number, because it can be changed into a prime (4148041) 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, 231 + ... + 2889.

It is an arithmetic number, because the mean of its divisors is an integer number (209475).

Almost surely, 2^4148040 is an apocalyptic number.

4148040 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 4148040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703200).

4148040 is an abundant number, since it is smaller than the sum of its proper divisors (9258360).

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

4148040 is a wasteful number, since it uses less digits than its factorization.

4148040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4148040 is about 2036.6737588529. The cubic root of 4148040 is about 160.6747545806.

The spelling of 4148040 in words is "four million, one hundred forty-eight thousand, forty".