1024314240 has 128 divisors (see below), whose sum is σ = 3334763520. Its totient is φ = 267315200.

The previous prime is 1024314233. The next prime is 1024314251. The reversal of 1024314240 is 424134201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84565 + ... + 95915.

It is an arithmetic number, because the mean of its divisors is an integer number (26052840).

Almost surely, 2^1024314240 is an apocalyptic number.

1024314240 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 1024314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667381760).

1024314240 is an abundant number, since it is smaller than the sum of its proper divisors (2310449280).

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

1024314240 is a wasteful number, since it uses less digits than its factorization.

1024314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1024314240 is about 32004.9096233687. The cubic root of 1024314240 is about 1008.0399329103.

Adding to 1024314240 its reverse (424134201), we get a palindrome (1448448441).

The spelling of 1024314240 in words is "one billion, twenty-four million, three hundred fourteen thousand, two hundred forty".