1024001024 has 44 divisors (see below), whose sum is σ = 2067478188. Its totient is φ = 506880000.

The previous prime is 1024001023. The next prime is 1024001039. The reversal of 1024001024 is 4201004201.

It can be written as a sum of positive squares in 2 ways, for example, as 983449600 + 40551424 = 31360^2 + 6368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024001023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98474 + ... + 108374.

Almost surely, 2^1024001024 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 1024001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033739094).

1024001024 is an abundant number, since it is smaller than the sum of its proper divisors (1043477164).

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

1024001024 is an equidigital number, since it uses as much as digits as its factorization.

1024001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1024001024 is about 32000.0159999960. The cubic root of 1024001024 is about 1007.9371758947.

Adding to 1024001024 its reverse (4201004201), we get a palindrome (5225005225).

It can be divided in two parts, 102400 and 1024, that multiplied together give a square (104857600 = 10240²).

The spelling of 1024001024 in words is "one billion, twenty-four million, one thousand, twenty-four".