27350443406440 has 256 divisors, whose sum is σ = 77130196254720. Its totient is φ = 8479668003840.

The previous prime is 27350443406393. The next prime is 27350443406479. The reversal of 27350443406440 is 4460434405372.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 877079089 + ... + 877110271.

It is an arithmetic number, because the mean of its divisors is an integer number (301289829120).

Almost surely, 2^{27350443406440} is an apocalyptic number.

27350443406440 is a gapful number since it is divisible by the number (20) 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 27350443406440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38565098127360).

27350443406440 is an abundant number, since it is smaller than the sum of its proper divisors (49779752848280).

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

27350443406440 is a wasteful number, since it uses less digits than its factorization.

27350443406440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32712 (or 32708 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 46.

The spelling of 27350443406440 in words is "twenty-seven trillion, three hundred fifty billion, four hundred forty-three million, four hundred six thousand, four hundred forty".