41049141120 has 640 divisors, whose sum is σ = 167203491840. Its totient is φ = 9507373056.

The previous prime is 41049141097. The next prime is 41049141121. The reversal of 41049141120 is 2114194014.

41049141120 is a `hidden beast` number, since 4 + 10 + 491 + 41 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41049141121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11454849 + ... + 11458431.

It is an arithmetic number, because the mean of its divisors is an integer number (261255456).

Almost surely, 2^41049141120 is an apocalyptic number.

41049141120 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 41049141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83601745920).

41049141120 is an abundant number, since it is smaller than the sum of its proper divisors (126154350720).

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

41049141120 is a wasteful number, since it uses less digits than its factorization.

41049141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 41049141120 in words is "forty-one billion, forty-nine million, one hundred forty-one thousand, one hundred twenty".