42466453322700 has 144 divisors (see below), whose sum is σ = 136311426760320. Its totient is φ = 10120407936000.

The previous prime is 42466453322669. The next prime is 42466453322707. The reversal of 42466453322700 is 722335466424.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42466453322700.

It is not an unprimeable number, because it can be changed into a prime (42466453322707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108861421 + ... + 109250820.

It is an arithmetic number, because the mean of its divisors is an integer number (946607130280).

Almost surely, 2^{42466453322700} is an apocalyptic number.

It is an amenable number.

42466453322700 is an abundant number, since it is smaller than the sum of its proper divisors (93844973437620).

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

42466453322700 is a wasteful number, since it uses less digits than its factorization.

42466453322700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218112328 (or 218112321 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 42466453322700 in words is "forty-two trillion, four hundred sixty-six billion, four hundred fifty-three million, three hundred twenty-two thousand, seven hundred".