4007040 has 64 divisors (see below), whose sum is σ = 12778560. Its totient is φ = 1068032.

The previous prime is 4007039. The next prime is 4007071. The reversal of 4007040 is 407004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (199665).

Almost surely, 2^4007040 is an apocalyptic number.

4007040 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 4007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389280).

4007040 is an abundant number, since it is smaller than the sum of its proper divisors (8771520).

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

4007040 is a wasteful number, since it uses less digits than its factorization.

4007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 4007040 is about 2001.7592262807. The cubic root of 4007040 is about 158.8331781437.

The spelling of 4007040 in words is "four million, seven thousand, forty".