1413433512400 has 240 divisors, whose sum is σ = 4276614584704. Its totient is φ = 436924938240.

The previous prime is 1413433512383. The next prime is 1413433512493. The reversal of 1413433512400 is 42153343141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113682 + ... + 2016718.

Almost surely, 2^{1413433512400} is an apocalyptic number.

1413433512400 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 1413433512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138307292352).

1413433512400 is an abundant number, since it is smaller than the sum of its proper divisors (2863181072304).

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

1413433512400 is a wasteful number, since it uses less digits than its factorization.

1413433512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903118 (or 903107 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 1413433512400 its reverse (42153343141), we get a palindrome (1455586855541).

The spelling of 1413433512400 in words is "one trillion, four hundred thirteen billion, four hundred thirty-three million, five hundred twelve thousand, four hundred".