41527226880 has 640 divisors, whose sum is σ = 157289932800. Its totient is φ = 10355392512.

The previous prime is 41527226857. The next prime is 41527226891. The reversal of 41527226880 is 8862272514.

41527226880 is a `hidden beast` number, since 41 + 5 + 272 + 268 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 135267687 + ... + 135267993.

It is an arithmetic number, because the mean of its divisors is an integer number (245765520).

Almost surely, 2^41527226880 is an apocalyptic number.

41527226880 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 41527226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78644966400).

41527226880 is an abundant number, since it is smaller than the sum of its proper divisors (115762705920).

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

41527226880 is a wasteful number, since it uses less digits than its factorization.

41527226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 41527226880 in words is "forty-one billion, five hundred twenty-seven million, two hundred twenty-six thousand, eight hundred eighty".