12463140038400 has 1080 divisors, whose sum is σ = 47909057842800. Its totient is φ = 3192879513600.

The previous prime is 12463140038347. The next prime is 12463140038441. The reversal of 12463140038400 is 483004136421.

12463140038400 is a `hidden beast` number, since 1 + 24 + 63 + 140 + 0 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 3172087636 + ... + 3172091564.

Almost surely, 2^{12463140038400} is an apocalyptic number.

12463140038400 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 12463140038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23954528921400).

12463140038400 is an abundant number, since it is smaller than the sum of its proper divisors (35445917804400).

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

12463140038400 is a wasteful number, since it uses less digits than its factorization.

12463140038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12463140038400 in words is "twelve trillion, four hundred sixty-three billion, one hundred forty million, thirty-eight thousand, four hundred".