1024224040 has 128 divisors (see below), whose sum is σ = 2768463360. Its totient is φ = 333425664.

The previous prime is 1024224037. The next prime is 1024224049. The reversal of 1024224040 is 404224201.

It is a super-2 number, since 2×1024224040² = 2098069768227843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024223999 and 1024224017.

It is not an unprimeable number, because it can be changed into a prime (1024224049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010574 + ... + 1011586.

It is an arithmetic number, because the mean of its divisors is an integer number (21628620).

Almost surely, 2^1024224040 is an apocalyptic number.

1024224040 is a gapful number since it is divisible by the number (10) 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 1024224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384231680).

1024224040 is an abundant number, since it is smaller than the sum of its proper divisors (1744239320).

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

1024224040 is a wasteful number, since it uses less digits than its factorization.

1024224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1024224040 is about 32003.5004335463. The cubic root of 1024224040 is about 1008.0103430744.

Adding to 1024224040 its reverse (404224201), we get a palindrome (1428448241).

The spelling of 1024224040 in words is "one billion, twenty-four million, two hundred twenty-four thousand, forty".