1040463216 has 120 divisors (see below), whose sum is σ = 3167463936. Its totient is φ = 316915200.

The previous prime is 1040463211. The next prime is 1040463227. The reversal of 1040463216 is 6123640401.

1040463216 is a `hidden beast` number, since 10 + 4 + 0 + 4 + 632 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1040463216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040463211) 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 in 23 ways as a sum of consecutive naturals, for example, 186321 + ... + 191823.

Almost surely, 2^1040463216 is an apocalyptic number.

1040463216 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 1040463216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583731968).

1040463216 is an abundant number, since it is smaller than the sum of its proper divisors (2127000720).

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

1040463216 is a wasteful number, since it uses less digits than its factorization.

1040463216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1040463216 is about 32256.2120528744. The cubic root of 1040463216 is about 1013.3098018928.

The spelling of 1040463216 in words is "one billion, forty million, four hundred sixty-three thousand, two hundred sixteen".