44723790400 has 189 divisors, whose sum is σ = 117279808747. Its totient is φ = 16783052800.

The previous prime is 44723790389. The next prime is 44723790403. The reversal of 44723790400 is 409732744.

The square root of 44723790400 is 211480.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1046134336 + 43677656064 = 32344^2 + 208992^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44723790403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143806245 + ... + 143806555.

Almost surely, 2^44723790400 is an apocalyptic number.

44723790400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44723790400 is the 211480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44723790400

44723790400 is an abundant number, since it is smaller than the sum of its proper divisors (72556018347).

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

44723790400 is an equidigital number, since it uses as much as digits as its factorization.

44723790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 44723790400 in words is "forty-four billion, seven hundred twenty-three million, seven hundred ninety thousand, four hundred".