41363424400 has 45 divisors (see below), whose sum is σ = 99385400491. Its totient is φ = 16543742720.

The previous prime is 41363424397. The next prime is 41363424419. The reversal of 41363424400 is 442436314.

The square root of 41363424400 is 203380.

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 5832682384 + 35530742016 = 76372^2 + 188496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4062516 + ... + 4072684.

Almost surely, 2^41363424400 is an apocalyptic number.

41363424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41363424400 is the 203380-th square number.

It is an amenable number.

41363424400 is an abundant number, since it is smaller than the sum of its proper divisors (58021976091).

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

41363424400 is an frugal number, since it uses more digits than its factorization.

41363424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20356 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 41363424400 in words is "forty-one billion, three hundred sixty-three million, four hundred twenty-four thousand, four hundred".