43226726400 has 1152 divisors, whose sum is σ = 186353228880. Its totient is φ = 9437184000.

The previous prime is 43226726371. The next prime is 43226726419. The reversal of 43226726400 is 462762234.

43226726400 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 6 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1054310380 + ... + 1054310420.

Almost surely, 2^43226726400 is an apocalyptic number.

43226726400 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 43226726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93176614440).

43226726400 is an abundant number, since it is smaller than the sum of its proper divisors (143126502480).

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

43226726400 is a wasteful number, since it uses less digits than its factorization.

43226726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 43226726400 in words is "forty-three billion, two hundred twenty-six million, seven hundred twenty-six thousand, four hundred".