16172440128 has 336 divisors, whose sum is σ = 52208582400. Its totient is φ = 4906137600.

The previous prime is 16172440111. The next prime is 16172440129. The reversal of 16172440128 is 82104427161.

It is a happy number.

16172440128 is a `hidden beast` number, since 1 + 617 + 24 + 4 + 0 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16172440092 and 16172440101.

It is not an unprimeable number, because it can be changed into a prime (16172440129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23070178 + ... + 23070878.

Almost surely, 2^16172440128 is an apocalyptic number.

16172440128 is a gapful number since it is divisible by the number (18) 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 16172440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26104291200).

16172440128 is an abundant number, since it is smaller than the sum of its proper divisors (36036142272).

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

16172440128 is a wasteful number, since it uses less digits than its factorization.

16172440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 16172440128 its reverse (82104427161), we get a palindrome (98276867289).

The spelling of 16172440128 in words is "sixteen billion, one hundred seventy-two million, four hundred forty thousand, one hundred twenty-eight".