41550745600 has 585 divisors, whose sum is σ = 130155587943. Its totient is φ = 13150126080.

The previous prime is 41550745589. The next prime is 41550745637. The reversal of 41550745600 is 654705514.

It is a happy number.

The square root of 41550745600 is 203840.

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 10709766144 + 30840979456 = 103488^2 + 175616^2 .

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 41550745600.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3196211194 + ... + 3196211206.

Almost surely, 2^41550745600 is an apocalyptic number.

41550745600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41550745600 is the 203840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41550745600

41550745600 is an abundant number, since it is smaller than the sum of its proper divisors (88604842343).

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

41550745600 is an frugal number, since it uses more digits than its factorization.

41550745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The spelling of 41550745600 in words is "forty-one billion, five hundred fifty million, seven hundred forty-five thousand, six hundred".