41285677916160 has 1792 divisors, whose sum is σ = 158474620108800. Its totient is φ = 10293761802240.

The previous prime is 41285677916159. The next prime is 41285677916183. The reversal of 41285677916160 is 6161977658214.

41285677916160 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 5 + 6 + 7 + 7 + 9 + 1 + 616 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216155381665 + ... + 216155381855.

Almost surely, 2^{41285677916160} is an apocalyptic number.

41285677916160 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 41285677916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79237310054400).

41285677916160 is an abundant number, since it is smaller than the sum of its proper divisors (117188942192640).

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

41285677916160 is an equidigital number, since it uses as much as digits as its factorization.

41285677916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 41285677916160 in words is "forty-one trillion, two hundred eighty-five billion, six hundred seventy-seven million, nine hundred sixteen thousand, one hundred sixty".