16442615430414 has 32 divisors (see below), whose sum is σ = 36544212001440. Its totient is φ = 5480111820096.

The previous prime is 16442615430361. The next prime is 16442615430469. The reversal of 16442615430414 is 41403451624461.

It is a happy number.

16442615430414 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 61 + 543 + 0 + 41 + 4 = 666.

It is a super-3 number, since 3×16442615430414³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 16442615430414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20717727 + ... + 21496730.

It is an arithmetic number, because the mean of its divisors is an integer number (1142006625045).

Almost surely, 2^{16442615430414} is an apocalyptic number.

16442615430414 is an abundant number, since it is smaller than the sum of its proper divisors (20101596571026).

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

16442615430414 is a wasteful number, since it uses less digits than its factorization.

16442615430414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42221681 (or 42221675 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 16442615430414 in words is "sixteen trillion, four hundred forty-two billion, six hundred fifteen million, four hundred thirty thousand, four hundred fourteen".