41858128166400 has 3600 divisors, whose sum is σ = 197447035705920. Its totient is φ = 8678463897600.

The previous prime is 41858128166383. The next prime is 41858128166419. The reversal of 41858128166400 is 466182185814.

41858128166400 is a `hidden beast` number, since 4 + 1 + 8 + 58 + 1 + 28 + 166 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 40286937081 + ... + 40286938119.

Almost surely, 2^{41858128166400} is an apocalyptic number.

41858128166400 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 41858128166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98723517852960).

41858128166400 is an abundant number, since it is smaller than the sum of its proper divisors (155588907539520).

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

41858128166400 is a wasteful number, since it uses less digits than its factorization.

41858128166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 41858128166400 in words is "forty-one trillion, eight hundred fifty-eight billion, one hundred twenty-eight million, one hundred sixty-six thousand, four hundred".