43438896400 has 135 divisors (see below), whose sum is σ = 111043147341. Its totient is φ = 16326789120.

The previous prime is 43438896377. The next prime is 43438896409. The reversal of 43438896400 is 469883434.

The square root of 43438896400 is 208420.

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 41539331344 + 1899565056 = 203812^2 + 43584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43438896409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70862494 + ... + 70863106.

Almost surely, 2^43438896400 is an apocalyptic number.

43438896400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

43438896400 is the 208420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43438896400

43438896400 is an abundant number, since it is smaller than the sum of its proper divisors (67604250941).

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

43438896400 is an equidigital number, since it uses as much as digits as its factorization.

43438896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 43438896400 by its sum of digits (49), we get a square (2128505923600 = 1458940²).

The spelling of 43438896400 in words is "forty-three billion, four hundred thirty-eight million, eight hundred ninety-six thousand, four hundred".