12430412000400 has 120 divisors (see below), whose sum is σ = 39826655868384. Its totient is φ = 3314118656000.

The previous prime is 12430412000371. The next prime is 12430412000407. The reversal of 12430412000400 is 400021403421.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (12430412000407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5035792 + ... + 7086608.

Almost surely, 2^{12430412000400} is an apocalyptic number.

12430412000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12430412000400 is an abundant number, since it is smaller than the sum of its proper divisors (27396243867984).

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

12430412000400 is a wasteful number, since it uses less digits than its factorization.

12430412000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055889 (or 2055878 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12430412000400 its reverse (400021403421), we get a palindrome (12830433403821).

The spelling of 12430412000400 in words is "twelve trillion, four hundred thirty billion, four hundred twelve million, four hundred", and thus it is an aban number.