1340432300400 has 60 divisors (see below), whose sum is σ = 4293851472792. Its totient is φ = 357448613120.

The previous prime is 1340432300393. The next prime is 1340432300429. The reversal of 1340432300400 is 40032340431.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 558512259 + ... + 558514658.

Almost surely, 2^{1340432300400} is an apocalyptic number.

1340432300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340432300400 is an abundant number, since it is smaller than the sum of its proper divisors (2953419172392).

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

1340432300400 is a wasteful number, since it uses less digits than its factorization.

1340432300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117026938 (or 1117026927 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1340432300400 its reverse (40032340431), we get a palindrome (1380464640831).

The spelling of 1340432300400 in words is "one trillion, three hundred forty billion, four hundred thirty-two million, three hundred thousand, four hundred".