16442742146401 has 32 divisors (see below), whose sum is σ = 17256793494528. Its totient is φ = 15654118717440.

The previous prime is 16442742146371. The next prime is 16442742146431. The reversal of 16442742146401 is 10464124724461.

It is an interprime number because it is at equal distance from previous prime (16442742146371) and next prime (16442742146431).

It is a cyclic number.

It is not a de Polignac number, because 16442742146401 - 2³¹ = 16440594662753 is a prime.

It is a super-3 number, since 3×16442742146401³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16442742146431) 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, 381808396 + ... + 381851458.

It is an arithmetic number, because the mean of its divisors is an integer number (539274796704).

Almost surely, 2^{16442742146401} is an apocalyptic number.

It is an amenable number.

16442742146401 is a deficient number, since it is larger than the sum of its proper divisors (814051348127).

16442742146401 is a wasteful number, since it uses less digits than its factorization.

16442742146401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44641.

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 16442742146401 in words is "sixteen trillion, four hundred forty-two billion, seven hundred forty-two million, one hundred forty-six thousand, four hundred one".