41146145140320 has 288 divisors, whose sum is σ = 155274180725664. Its totient is φ = 9838181376000.

The previous prime is 41146145140313. The next prime is 41146145140357. The reversal of 41146145140320 is 2304154164114.

41146145140320 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 614 + 5 + 1 + 4 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16635531 + ... + 18948170.

It is an arithmetic number, because the mean of its divisors is an integer number (539146460853).

Almost surely, 2^{41146145140320} is an apocalyptic number.

41146145140320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41146145140320 is an abundant number, since it is smaller than the sum of its proper divisors (114128035585344).

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

41146145140320 is a wasteful number, since it uses less digits than its factorization.

41146145140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35583806 (or 35583795 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41146145140320 in words is "forty-one trillion, one hundred forty-six billion, one hundred forty-five million, one hundred forty thousand, three hundred twenty".