461635322302042 has 192 divisors, whose sum is σ = 853163513072640. Its totient is φ = 183401639866368.

The previous prime is 461635322302001. The next prime is 461635322302051. The reversal of 461635322302042 is 240203223536164.

It is a super-3 number, since 3×461635322302042³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461635322302042.

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, 87150331938 + ... + 87150337234.

It is an arithmetic number, because the mean of its divisors is an integer number (4443559963920).

Almost surely, 2^{461635322302042} is an apocalyptic number.

461635322302042 is a deficient number, since it is larger than the sum of its proper divisors (391528190770598).

461635322302042 is a wasteful number, since it uses less digits than its factorization.

461635322302042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 43.

The spelling of 461635322302042 in words is "four hundred sixty-one trillion, six hundred thirty-five billion, three hundred twenty-two million, three hundred two thousand, forty-two".