12400427376 has 200 divisors, whose sum is σ = 37996429680. Its totient is φ = 3897621504.

The previous prime is 12400427363. The next prime is 12400427393. The reversal of 12400427376 is 67372400421.

12400427376 is a `hidden beast` number, since 1 + 240 + 0 + 42 + 7 + 376 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12400427376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1612276 + ... + 1619948.

Almost surely, 2^12400427376 is an apocalyptic number.

12400427376 is a gapful number since it is divisible by the number (16) 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 12400427376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998214840).

12400427376 is an abundant number, since it is smaller than the sum of its proper divisors (25596002304).

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

12400427376 is a wasteful number, since it uses less digits than its factorization.

12400427376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7765 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 12400427376 its reverse (67372400421), we get a palindrome (79772827797).

The spelling of 12400427376 in words is "twelve billion, four hundred million, four hundred twenty-seven thousand, three hundred seventy-six".