1024120440 has 96 divisors (see below), whose sum is σ = 3803885280. Its totient is φ = 234084096.

The previous prime is 1024120429. The next prime is 1024120441. The reversal of 1024120440 is 440214201.

1024120440 is a `hidden beast` number, since 102 + 4 + 120 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024120441) 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, 200679 + ... + 205718.

It is an arithmetic number, because the mean of its divisors is an integer number (39623805).

Almost surely, 2^1024120440 is an apocalyptic number.

1024120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024120440 is an abundant number, since it is smaller than the sum of its proper divisors (2779764840).

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

1024120440 is a wasteful number, since it uses less digits than its factorization.

1024120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406421 (or 406414 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1024120440 is about 32001.8818196680. The cubic root of 1024120440 is about 1007.9763552655.

Adding to 1024120440 its reverse (440214201), we get a palindrome (1464334641).

The spelling of 1024120440 in words is "one billion, twenty-four million, one hundred twenty thousand, four hundred forty".