4015440 has 240 divisors, whose sum is σ = 16338240. Its totient is φ = 898560.

The previous prime is 4015421. The next prime is 4015463. The reversal of 4015440 is 445104.

Added to its reverse (445104) it gives a square (4460544 = 2112²).

4015440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4015440² = 32247516787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308874 + ... + 308886.

It is an arithmetic number, because the mean of its divisors is an integer number (68076).

Almost surely, 2^4015440 is an apocalyptic number.

4015440 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 4015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169120).

4015440 is an abundant number, since it is smaller than the sum of its proper divisors (12322800).

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

4015440 is a wasteful number, since it uses less digits than its factorization.

4015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4015440 is about 2003.8562822718. The cubic root of 4015440 is about 158.9440885649.

Adding to 4015440 its reverse (445104), we get a square (4460544 = 2112²).

The spelling of 4015440 in words is "four million, fifteen thousand, four hundred forty".