10442016616335 has 32 divisors (see below), whose sum is σ = 17074897459200. Its totient is φ = 5446687987968.

The previous prime is 10442016616319. The next prime is 10442016616337. The reversal of 10442016616335 is 53361661024401.

It is a happy number.

It is not a de Polignac number, because 10442016616335 - 2⁴ = 10442016616319 is a prime.

It is a super-2 number, since 2×10442016616335² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442016616337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307262 + ... + 6279851.

It is an arithmetic number, because the mean of its divisors is an integer number (533590545600).

Almost surely, 2^{10442016616335} is an apocalyptic number.

10442016616335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10442016616335 is a deficient number, since it is larger than the sum of its proper divisors (6632880842865).

10442016616335 is a wasteful number, since it uses less digits than its factorization.

10442016616335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588567.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 10442016616335 in words is "ten trillion, four hundred forty-two billion, sixteen million, six hundred sixteen thousand, three hundred thirty-five".