10642623306042 has 64 divisors (see below), whose sum is σ = 26566201718784. Its totient is φ = 2767312658880.

The previous prime is 10642623305999. The next prime is 10642623306127. The reversal of 10642623306042 is 24060332624601.

It is a super-2 number, since 2×10642623306042² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137228728 + ... + 137306259.

It is an arithmetic number, because the mean of its divisors is an integer number (415096901856).

Almost surely, 2^{10642623306042} is an apocalyptic number.

10642623306042 is an abundant number, since it is smaller than the sum of its proper divisors (15923578412742).

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

10642623306042 is a wasteful number, since it uses less digits than its factorization.

10642623306042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274535083.

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 10642623306042 in words is "ten trillion, six hundred forty-two billion, six hundred twenty-three million, three hundred six thousand, forty-two".