42775753016466 has 128 divisors (see below), whose sum is σ = 99681601536000. Its totient is φ = 13571159329728.

The previous prime is 42775753016431. The next prime is 42775753016467. The reversal of 42775753016466 is 66461035757724.

42775753016466 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 57 + 530 + 1 + 6 + 46 + 6 = 666.

It is a super-2 number, since 2×42775753016466² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42775753016467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391474696 + ... + 391583948.

It is an arithmetic number, because the mean of its divisors is an integer number (778762512000).

Almost surely, 2^{42775753016466} is an apocalyptic number.

42775753016466 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42775753016466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49840800768000).

42775753016466 is an abundant number, since it is smaller than the sum of its proper divisors (56905848519534).

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

42775753016466 is a wasteful number, since it uses less digits than its factorization.

42775753016466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110845 (or 110839 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 42775753016466 in words is "forty-two trillion, seven hundred seventy-five billion, seven hundred fifty-three million, sixteen thousand, four hundred sixty-six".