4001024 has 18 divisors (see below), whose sum is σ = 7986930. Its totient is φ = 2000384.

The previous prime is 4001017. The next prime is 4001027. The reversal of 4001024 is 4201004.

It can be written as a sum of positive squares in only one way, i.e., 4000000 + 1024 = 2000^2 + 32^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4000996 and 4001014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7559 + ... + 8070.

Almost surely, 2^4001024 is an apocalyptic number.

It is an amenable number.

4001024 is a deficient number, since it is larger than the sum of its proper divisors (3985906).

4001024 is an equidigital number, since it uses as much as digits as its factorization.

4001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15645 (or 15631 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4001024 is about 2000.2559836181. The cubic root of 4001024 is about 158.7536498634.

Adding to 4001024 its reverse (4201004), we get a palindrome (8202028).

It can be divided in two parts, 400 and 1024, that multiplied together give a square (409600 = 640²).

The spelling of 4001024 in words is "four million, one thousand, twenty-four".