12400541400 has 96 divisors (see below), whose sum is σ = 41398756560. Its totient is φ = 3052439040.

The previous prime is 12400541381. The next prime is 12400541411. The reversal of 12400541400 is 414500421.

It is a happy number.

12400541400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12400541400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787107 + ... + 802706.

Almost surely, 2^12400541400 is an apocalyptic number.

12400541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400541400 is an abundant number, since it is smaller than the sum of its proper divisors (28998215160).

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

12400541400 is a wasteful number, since it uses less digits than its factorization.

12400541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589845 (or 1589836 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The spelling of 12400541400 in words is "twelve billion, four hundred million, five hundred forty-one thousand, four hundred".