12400142400 has 126 divisors (see below), whose sum is σ = 44073085082. Its totient is φ = 3306700800.

The previous prime is 12400142369. The next prime is 12400142407. The reversal of 12400142400 is 424100421.

12400142400 is a `hidden beast` number, since 1 + 240 + 0 + 1 + 424 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 901440576 + 11498701824 = 30024^2 + 107232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12400142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 416161 + ... + 444960.

Almost surely, 2^12400142400 is an apocalyptic number.

12400142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400142400 is an abundant number, since it is smaller than the sum of its proper divisors (31672942682).

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

12400142400 is a wasteful number, since it uses less digits than its factorization.

12400142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861149 (or 861131 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12400142400 its reverse (424100421), we get a palindrome (12824242821).

The spelling of 12400142400 in words is "twelve billion, four hundred million, one hundred forty-two thousand, four hundred".