1025641024 has 56 divisors (see below), whose sum is σ = 2129015808. Its totient is φ = 489308160.

The previous prime is 1025641013. The next prime is 1025641039. The reversal of 1025641024 is 4201465201.

It is a happy number.

It is a super-2 number, since 2×1025641024² = 2103879020223537152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1025641024.

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, 943009 + ... + 944095.

Almost surely, 2^1025641024 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 1025641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064507904).

1025641024 is an abundant number, since it is smaller than the sum of its proper divisors (1103374784).

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

1025641024 is a wasteful number, since it uses less digits than its factorization.

1025641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1025641024 is about 32025.6307353969. The cubic root of 1025641024 is about 1008.4749798113.

It can be divided in two parts, 10256 and 41024, that multiplied together give a square (420742144 = 20512²).

The spelling of 1025641024 in words is "one billion, twenty-five million, six hundred forty-one thousand, twenty-four".