43426392100 has 243 divisors, whose sum is σ = 119222230617. Its totient is φ = 13683720960.

The previous prime is 43426392089. The next prime is 43426392131. The reversal of 43426392100 is 129362434.

It is a happy number.

The square root of 43426392100 is 208390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 22243336164 + 21183055936 = 149142^2 + 145544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 189634786 + ... + 189635014.

Almost surely, 2^43426392100 is an apocalyptic number.

43426392100 is the 208390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43426392100

43426392100 is an abundant number, since it is smaller than the sum of its proper divisors (75795838517).

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

43426392100 is a wasteful number, since it uses less digits than its factorization.

43426392100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 43426392100 in words is "forty-three billion, four hundred twenty-six million, three hundred ninety-two thousand, one hundred".