1016404416 has 112 divisors (see below), whose sum is σ = 3057753600. Its totient is φ = 330898176.

The previous prime is 1016404397. The next prime is 1016404421. The reversal of 1016404416 is 6144046101.

1016404416 is a `hidden beast` number, since 1 + 0 + 1 + 640 + 4 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1016404416.

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 15 ways as a sum of consecutive naturals, for example, 67465 + ... + 81143.

Almost surely, 2^1016404416 is an apocalyptic number.

1016404416 is a gapful number since it is divisible by the number (16) 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 1016404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528876800).

1016404416 is an abundant number, since it is smaller than the sum of its proper divisors (2041349184).

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

1016404416 is a wasteful number, since it uses less digits than its factorization.

1016404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13727 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1016404416 is about 31881.0980990304. The cubic root of 1016404416 is about 1005.4385076819.

The spelling of 1016404416 in words is "one billion, sixteen million, four hundred four thousand, four hundred sixteen".