43898398790400 has 1944 divisors, whose sum is σ = 209653303204800. Its totient is φ = 8641537228800.

The previous prime is 43898398790371. The next prime is 43898398790417. The reversal of 43898398790400 is 409789389834.

43898398790400 is a `hidden beast` number, since 4 + 38 + 98 + 39 + 8 + 79 + 0 + 400 = 666.

43898398790400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 215 ways as a sum of consecutive naturals, for example, 589844391 + ... + 589918809.

Almost surely, 2^{43898398790400} is an apocalyptic number.

43898398790400 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 43898398790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104826651602400).

43898398790400 is an abundant number, since it is smaller than the sum of its proper divisors (165754904414400).

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

43898398790400 is a wasteful number, since it uses less digits than its factorization.

43898398790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74495 (or 74466 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 43898398790400 in words is "forty-three trillion, eight hundred ninety-eight billion, three hundred ninety-eight million, seven hundred ninety thousand, four hundred".