1016416128 has 512 divisors, whose sum is σ = 3701376000. Its totient is φ = 239468544.

The previous prime is 1016416087. The next prime is 1016416169. The reversal of 1016416128 is 8216146101.

It is an interprime number because it is at equal distance from previous prime (1016416087) and next prime (1016416169).

It is a junction number, because it is equal to n+sod(n) for n = 1016416095 and 1016416104.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 17227363 + ... + 17227421.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^1016416128 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 1016416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

1016416128 is an abundant number, since it is smaller than the sum of its proper divisors (2684959872).

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

1016416128 is a wasteful number, since it uses less digits than its factorization.

1016416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1016416128 is about 31881.2817810075. The cubic root of 1016416128 is about 1005.4423695472.

The spelling of 1016416128 in words is "one billion, sixteen million, four hundred sixteen thousand, one hundred twenty-eight".