12400089399040 has 432 divisors, whose sum is σ = 37543239659520. Its totient is φ = 3897760849920.

The previous prime is 12400089399011. The next prime is 12400089399043. The reversal of 12400089399040 is 4099398000421.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400089399043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36774249 + ... + 37109911.

It is an arithmetic number, because the mean of its divisors is an integer number (86905647360).

Almost surely, 2^{12400089399040} is an apocalyptic number.

12400089399040 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 12400089399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18771619829760).

12400089399040 is an abundant number, since it is smaller than the sum of its proper divisors (25143150260480).

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

12400089399040 is a wasteful number, since it uses less digits than its factorization.

12400089399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335748 (or 335727 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 12400089399040 in words is "twelve trillion, four hundred billion, eighty-nine million, three hundred ninety-nine thousand, forty".