41149248307200 has 2280 divisors, whose sum is σ = 172746191170080. Its totient is φ = 9631589990400.

The previous prime is 41149248307177. The next prime is 41149248307273. The reversal of 41149248307200 is 270384294114.

41149248307200 is a `hidden beast` number, since 4 + 1 + 14 + 92 + 48 + 307 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1418939596786 + ... + 1418939596814.

Almost surely, 2^{41149248307200} is an apocalyptic number.

41149248307200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41149248307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86373095585040).

41149248307200 is an abundant number, since it is smaller than the sum of its proper divisors (131596942862880).

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

41149248307200 is an frugal number, since it uses more digits than its factorization.

41149248307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 41149248307200 in words is "forty-one trillion, one hundred forty-nine billion, two hundred forty-eight million, three hundred seven thousand, two hundred".