4127040 has 84 divisors (see below), whose sum is σ = 14205204. Its totient is φ = 1099776.

The previous prime is 4127033. The next prime is 4127069. The reversal of 4127040 is 407214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 1617984 = 1584^2 + 1272^2 .

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 11 ways as a sum of consecutive naturals, for example, 2164 + ... + 3596.

Almost surely, 2^4127040 is an apocalyptic number.

4127040 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 4127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102602).

4127040 is an abundant number, since it is smaller than the sum of its proper divisors (10078164).

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

4127040 is a wasteful number, since it uses less digits than its factorization.

4127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4127040 is about 2031.5117523657. The cubic root of 4127040 is about 160.4031500015.

The spelling of 4127040 in words is "four million, one hundred twenty-seven thousand, forty".