10442164151319 has 16 divisors (see below), whose sum is σ = 14047242943968. Its totient is φ = 6899428777472.

The previous prime is 10442164151291. The next prime is 10442164151329. The reversal of 10442164151319 is 91315146124401.

It is a happy number.

10442164151319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10442164151319 - 2¹⁶ = 10442164085783 is a prime.

It is a super-2 number, since 2×10442164151319² (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 (10442164151329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20335332 + ... + 20842505.

It is an arithmetic number, because the mean of its divisors is an integer number (877952683998).

Almost surely, 2^{10442164151319} is an apocalyptic number.

10442164151319 is a deficient number, since it is larger than the sum of its proper divisors (3605078792649).

10442164151319 is a wasteful number, since it uses less digits than its factorization.

10442164151319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41178594.

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 10442164151319 in words is "ten trillion, four hundred forty-two billion, one hundred sixty-four million, one hundred fifty-one thousand, three hundred nineteen".