41128053120 has 768 divisors, whose sum is σ = 180923258880. Its totient is φ = 8360017920.

The previous prime is 41128053101. The next prime is 41128053133. The reversal of 41128053120 is 2135082114.

41128053120 is a `hidden beast` number, since 4 + 1 + 128 + 0 + 531 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20844454 + ... + 20846426.

It is an arithmetic number, because the mean of its divisors is an integer number (235577160).

Almost surely, 2^41128053120 is an apocalyptic number.

41128053120 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 41128053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90461629440).

41128053120 is an abundant number, since it is smaller than the sum of its proper divisors (139795205760).

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

41128053120 is a wasteful number, since it uses less digits than its factorization.

41128053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 41128053120 in words is "forty-one billion, one hundred twenty-eight million, fifty-three thousand, one hundred twenty".