275081432138442 has 192 divisors, whose sum is σ = 635384540044800. Its totient is φ = 85712233052160.

The previous prime is 275081432138417. The next prime is 275081432138467. The reversal of 275081432138442 is 244831234180572.

275081432138442 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 8 + 143 + 21 + 38 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (275081432138417) and next prime (275081432138467).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80740072303 + ... + 80740075709.

It is an arithmetic number, because the mean of its divisors is an integer number (3309294479400).

Almost surely, 2^{275081432138442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275081432138442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317692270022400).

275081432138442 is an abundant number, since it is smaller than the sum of its proper divisors (360303107906358).

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

275081432138442 is a wasteful number, since it uses less digits than its factorization.

275081432138442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 275081432138442 in words is "two hundred seventy-five trillion, eighty-one billion, four hundred thirty-two million, one hundred thirty-eight thousand, four hundred forty-two".