12330410400400 has 60 divisors (see below), whose sum is σ = 29627945488612. Its totient is φ = 4931475793920.

The previous prime is 12330410400397. The next prime is 12330410400409. The reversal of 12330410400400 is 400401403321.

It can be written as a sum of positive squares in 6 ways, for example, as 1117342017936 + 11213068382464 = 1057044^2 + 3348592^2 .

It is not an unprimeable number, because it can be changed into a prime (12330410400409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723244 + ... + 5018356.

Almost surely, 2^{12330410400400} is an apocalyptic number.

12330410400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330410400400 is an abundant number, since it is smaller than the sum of its proper divisors (17297535088212).

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

12330410400400 is a wasteful number, since it uses less digits than its factorization.

12330410400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302308 (or 4302297 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12330410400400 its reverse (400401403321), we get a palindrome (12730811803721).

The spelling of 12330410400400 in words is "twelve trillion, three hundred thirty billion, four hundred ten million, four hundred thousand, four hundred".