16168127040 has 224 divisors, whose sum is σ = 61425490560. Its totient is φ = 3979819008.

The previous prime is 16168127033. The next prime is 16168127051. The reversal of 16168127040 is 4072186161.

It is a happy number.

It is a super-2 number, since 2×16168127040² (a number of 21 digits) contains 22 as substring.

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 = 16168126986 and 16168127004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40347 + ... + 184293.

It is an arithmetic number, because the mean of its divisors is an integer number (274220940).

Almost surely, 2^16168127040 is an apocalyptic number.

16168127040 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 16168127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30712745280).

16168127040 is an abundant number, since it is smaller than the sum of its proper divisors (45257363520).

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

16168127040 is a wasteful number, since it uses less digits than its factorization.

16168127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143986 (or 143970 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 16168127040 in words is "sixteen billion, one hundred sixty-eight million, one hundred twenty-seven thousand, forty".