1009964416 has 16 divisors (see below), whose sum is σ = 2012038740. Its totient is φ = 504982144.

The previous prime is 1009964413. The next prime is 1009964443. The reversal of 1009964416 is 6144699001.

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009964413) by changing a digit.

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 as a sum of consecutive naturals, namely, 3945046 + ... + 3945301.

Almost surely, 2^1009964416 is an apocalyptic number.

1009964416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1009964416 is a deficient number, since it is larger than the sum of its proper divisors (1002074324).

1009964416 is an frugal number, since it uses more digits than its factorization.

1009964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890361 (or 7890349 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1009964416 is about 31779.9373190068. The cubic root of 1009964416 is about 1003.3105004928.

The spelling of 1009964416 in words is "one billion, nine million, nine hundred sixty-four thousand, four hundred sixteen".