1231340342400 has 576 divisors, whose sum is σ = 5027941226880. Its totient is φ = 281081364480.

The previous prime is 1231340342371. The next prime is 1231340342443. The reversal of 1231340342400 is 42430431321.

1231340342400 is a `hidden beast` number, since 1 + 2 + 3 + 13 + 403 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172767637 + ... + 172774763.

It is an arithmetic number, because the mean of its divisors is an integer number (8729064630).

Almost surely, 2^{1231340342400} is an apocalyptic number.

1231340342400 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 1231340342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513970613440).

1231340342400 is an abundant number, since it is smaller than the sum of its proper divisors (3796600884480).

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

1231340342400 is a wasteful number, since it uses less digits than its factorization.

1231340342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1231340342400 its reverse (42430431321), we get a palindrome (1273770773721).

The spelling of 1231340342400 in words is "one trillion, two hundred thirty-one billion, three hundred forty million, three hundred forty-two thousand, four hundred".