41257734400 has 81 divisors (see below), whose sum is σ = 102159575301. Its totient is φ = 16496593920.

The previous prime is 41257734389. The next prime is 41257734403. The reversal of 41257734400 is 443775214.

The square root of 41257734400 is 203120.

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

It can be written as a sum of positive squares in only one way, i.e., 14852784384 + 26404950016 = 121872^2 + 162496^2 .

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 41257734400.

It is not an unprimeable number, because it can be changed into a prime (41257734403) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 16248331 + ... + 16250869.

Almost surely, 2^41257734400 is an apocalyptic number.

41257734400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41257734400 is the 203120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41257734400

41257734400 is an abundant number, since it is smaller than the sum of its proper divisors (60901840901).

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

41257734400 is an frugal number, since it uses more digits than its factorization.

41257734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 41257734400 in words is "forty-one billion, two hundred fifty-seven million, seven hundred thirty-four thousand, four hundred".