12400042400 has 72 divisors (see below), whose sum is σ = 30342682944. Its totient is φ = 4948371200.

The previous prime is 12400042393. The next prime is 12400042423. The reversal of 12400042400 is 424000421.

It is a super-2 number, since 2×12400042400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326819 + ... + 362781.

It is an arithmetic number, because the mean of its divisors is an integer number (421426152).

Almost surely, 2^12400042400 is an apocalyptic number.

12400042400 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 12400042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171341472).

12400042400 is an abundant number, since it is smaller than the sum of its proper divisors (17942640544).

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

12400042400 is a wasteful number, since it uses less digits than its factorization.

12400042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36414 (or 36401 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 12400042400 its reverse (424000421), we get a palindrome (12824042821).

The spelling of 12400042400 in words is "twelve billion, four hundred million, forty-two thousand, four hundred".