41119284960 has 192 divisors, whose sum is σ = 154988285760. Its totient is φ = 10121656320.

The previous prime is 41119284953. The next prime is 41119284971. The reversal of 41119284960 is 6948291114.

It is a happy number.

41119284960 is a `hidden beast` number, since 41 + 119 + 2 + 8 + 496 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309931 + ... + 422250.

It is an arithmetic number, because the mean of its divisors is an integer number (807230655).

Almost surely, 2^41119284960 is an apocalyptic number.

41119284960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41119284960 is an abundant number, since it is smaller than the sum of its proper divisors (113869000800).

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

41119284960 is a wasteful number, since it uses less digits than its factorization.

41119284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732218 (or 732204 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 41119284960 in words is "forty-one billion, one hundred nineteen million, two hundred eighty-four thousand, nine hundred sixty".