16434170104072 has 256 divisors, whose sum is σ = 36361272729600. Its totient is φ = 6819432560640.

The previous prime is 16434170104039. The next prime is 16434170104087. The reversal of 16434170104072 is 27040107143461.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22118667333 + ... + 22118668075.

It is an arithmetic number, because the mean of its divisors is an integer number (142036221600).

Almost surely, 2^{16434170104072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434170104072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180636364800).

16434170104072 is an abundant number, since it is smaller than the sum of its proper divisors (19927102625528).

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

16434170104072 is a wasteful number, since it uses less digits than its factorization.

16434170104072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 16434170104072 in words is "sixteen trillion, four hundred thirty-four billion, one hundred seventy million, one hundred four thousand, seventy-two".