41047050240 has 768 divisors, whose sum is σ = 169073049600. Its totient is φ = 9252569088.

The previous prime is 41047050229. The next prime is 41047050241. The reversal of 41047050240 is 4205074014.

41047050240 is a `hidden beast` number, since 410 + 4 + 7 + 0 + 5 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41047050241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245790637 + ... + 245790803.

It is an arithmetic number, because the mean of its divisors is an integer number (220147200).

Almost surely, 2^41047050240 is an apocalyptic number.

41047050240 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 41047050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84536524800).

41047050240 is an abundant number, since it is smaller than the sum of its proper divisors (128025999360).

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

41047050240 is a wasteful number, since it uses less digits than its factorization.

41047050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 41047050240 in words is "forty-one billion, forty-seven million, fifty thousand, two hundred forty".