41314268160 has 704 divisors, whose sum is σ = 162358214400. Its totient is φ = 9879552000.

The previous prime is 41314268159. The next prime is 41314268243. The reversal of 41314268160 is 6186241314.

41314268160 is a `hidden beast` number, since 41 + 31 + 426 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 153584506 + ... + 153584774.

Almost surely, 2^41314268160 is an apocalyptic number.

41314268160 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 41314268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81179107200).

41314268160 is an abundant number, since it is smaller than the sum of its proper divisors (121043946240).

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

41314268160 is a wasteful number, since it uses less digits than its factorization.

41314268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41314268160 in words is "forty-one billion, three hundred fourteen million, two hundred sixty-eight thousand, one hundred sixty".