1016416944 has 80 divisors (see below), whose sum is σ = 3089132640. Its totient is φ = 318873600.

The previous prime is 1016416939. The next prime is 1016416963. The reversal of 1016416944 is 4496146101.

1016416944 is a `hidden beast` number, since 1 + 0 + 1 + 641 + 6 + 9 + 4 + 4 = 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 = 1016416899 and 1016416908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61857 + ... + 76544.

It is an arithmetic number, because the mean of its divisors is an integer number (38614158).

Almost surely, 2^1016416944 is an apocalyptic number.

It is an amenable number.

1016416944 is an abundant number, since it is smaller than the sum of its proper divisors (2072715696).

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

1016416944 is a wasteful number, since it uses less digits than its factorization.

1016416944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138435 (or 138423 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1016416944 is about 31881.2945784829. The cubic root of 1016416944 is about 1005.4426386104.

The spelling of 1016416944 in words is "one billion, sixteen million, four hundred sixteen thousand, nine hundred forty-four".