16102430164240 has 240 divisors, whose sum is σ = 45078414796800. Its totient is φ = 5327363091456.

The previous prime is 16102430164237. The next prime is 16102430164309. The reversal of 16102430164240 is 4246103420161.

It is a junction number, because it is equal to n+sod(n) for n = 16102430164196 and 16102430164205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199922857 + ... + 200003383.

It is an arithmetic number, because the mean of its divisors is an integer number (187826728320).

Almost surely, 2^{16102430164240} is an apocalyptic number.

16102430164240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16102430164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22539207398400).

16102430164240 is an abundant number, since it is smaller than the sum of its proper divisors (28975984632560).

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

16102430164240 is a wasteful number, since it uses less digits than its factorization.

16102430164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82342 (or 82329 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 16102430164240 in words is "sixteen trillion, one hundred two billion, four hundred thirty million, one hundred sixty-four thousand, two hundred forty".