4126128 has 40 divisors (see below), whose sum is σ = 10826688. Its totient is φ = 1353792.

The previous prime is 4126099. The next prime is 4126139. The reversal of 4126128 is 8216214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4126098 and 4126107.

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, 2575 + ... + 3857.

Almost surely, 2^4126128 is an apocalyptic number.

4126128 is a gapful number since it is divisible by the number (48) 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 4126128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413344).

4126128 is an abundant number, since it is smaller than the sum of its proper divisors (6700560).

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

4126128 is a wasteful number, since it uses less digits than its factorization.

4126128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 4126128 is about 2031.2872765810. The cubic root of 4126128 is about 160.3913337482.

The spelling of 4126128 in words is "four million, one hundred twenty-six thousand, one hundred twenty-eight".