43897097138400 has 1728 divisors, whose sum is σ = 186390130268160. Its totient is φ = 9595998720000.

The previous prime is 43897097138371. The next prime is 43897097138437. The reversal of 43897097138400 is 483179079834.

43897097138400 is a `hidden beast` number, since 4 + 3 + 8 + 9 + 7 + 0 + 97 + 138 + 400 = 666.

43897097138400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 7302791395 + ... + 7302797405.

It is an arithmetic number, because the mean of its divisors is an integer number (107864658720).

Almost surely, 2^{43897097138400} is an apocalyptic number.

43897097138400 is a gapful number since it is divisible by the number (40) 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 43897097138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195065134080).

43897097138400 is an abundant number, since it is smaller than the sum of its proper divisors (142493033129760).

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

43897097138400 is a wasteful number, since it uses less digits than its factorization.

43897097138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 43897097138400 in words is "forty-three trillion, eight hundred ninety-seven billion, ninety-seven million, one hundred thirty-eight thousand, four hundred".