1014432442400 has 72 divisors (see below), whose sum is σ = 2666981935044. Its totient is φ = 374559667200.

The previous prime is 1014432442367. The next prime is 1014432442411. The reversal of 1014432442400 is 42442344101.

It can be written as a sum of positive squares in 6 ways, for example, as 58988751376 + 955443691024 = 242876^2 + 977468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48760391 + ... + 48781190.

Almost surely, 2^{1014432442400} is an apocalyptic number.

1014432442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014432442400 is an abundant number, since it is smaller than the sum of its proper divisors (1652549492644).

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

1014432442400 is a wasteful number, since it uses less digits than its factorization.

1014432442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97541614 (or 97541601 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 1014432442400 its reverse (42442344101), we get a palindrome (1056874786501).

The spelling of 1014432442400 in words is "one trillion, fourteen billion, four hundred thirty-two million, four hundred forty-two thousand, four hundred".