4127940 has 144 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 967680.

The previous prime is 4127933. The next prime is 4127951. The reversal of 4127940 is 497214.

It is a happy 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, 58105 + ... + 58175.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^4127940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4127940 is an abundant number, since it is smaller than the sum of its proper divisors (10024380).

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

4127940 is a wasteful number, since it uses less digits than its factorization.

4127940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4127940 is about 2031.7332502078. The cubic root of 4127940 is about 160.4148090713.

The spelling of 4127940 in words is "four million, one hundred twenty-seven thousand, nine hundred forty".