1024405040 has 120 divisors (see below), whose sum is σ = 2582432928. Its totient is φ = 376535040.

The previous prime is 1024405021. The next prime is 1024405043. The reversal of 1024405040 is 405044201.

1024405040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1024405043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9945629 + ... + 9945731.

Almost surely, 2^1024405040 is an apocalyptic number.

1024405040 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 1024405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291216464).

1024405040 is an abundant number, since it is smaller than the sum of its proper divisors (1558027888).

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

1024405040 is a wasteful number, since it uses less digits than its factorization.

1024405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1024405040 is about 32006.3281242944. The cubic root of 1024405040 is about 1008.0697178200.

Adding to 1024405040 its reverse (405044201), we get a palindrome (1429449241).

The spelling of 1024405040 in words is "one billion, twenty-four million, four hundred five thousand, forty".