1024314230440 has 64 divisors (see below), whose sum is σ = 2408759110800. Its totient is φ = 391518855168.

The previous prime is 1024314230363. The next prime is 1024314230447. The reversal of 1024314230440 is 440324134201.

It can be written as a sum of positive squares in 8 ways, for example, as 285192313156 + 739121917284 = 534034^2 + 859722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1024314230399 and 1024314230408.

It is not an unprimeable number, because it can be changed into a prime (1024314230447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4439179 + ... + 4664218.

Almost surely, 2^{1024314230440} is an apocalyptic number.

1024314230440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024314230440 is an abundant number, since it is smaller than the sum of its proper divisors (1384444880360).

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

1024314230440 is a wasteful number, since it uses less digits than its factorization.

1024314230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9103534 (or 9103530 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1024314230440 its reverse (440324134201), we get a palindrome (1464638364641).

The spelling of 1024314230440 in words is "one trillion, twenty-four billion, three hundred fourteen million, two hundred thirty thousand, four hundred forty".