40248384400 has 135 divisors (see below), whose sum is σ = 112562517171. Its totient is φ = 13789816320.

The previous prime is 40248384383. The next prime is 40248384403. The reversal of 40248384400 is 448384204.

The square root of 40248384400 is 200620.

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 1876275856 + 38372108544 = 43316^2 + 195888^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40248384400.

It is not an unprimeable number, because it can be changed into a prime (40248384403) 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, 28086084 + ... + 28087516.

Almost surely, 2^40248384400 is an apocalyptic number.

40248384400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40248384400 is the 200620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40248384400

40248384400 is an abundant number, since it is smaller than the sum of its proper divisors (72314132771).

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

40248384400 is an equidigital number, since it uses as much as digits as its factorization.

40248384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 40248384400 in words is "forty billion, two hundred forty-eight million, three hundred eighty-four thousand, four hundred".