1040862816 has 144 divisors (see below), whose sum is σ = 3461762304. Its totient is φ = 290449152.

The previous prime is 1040862811. The next prime is 1040862817. The reversal of 1040862816 is 6182680401.

1040862816 is a `hidden beast` number, since 10 + 4 + 0 + 8 + 628 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040862811) 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, 80685 + ... + 92691.

It is an arithmetic number, because the mean of its divisors is an integer number (24040016).

Almost surely, 2^1040862816 is an apocalyptic number.

1040862816 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 1040862816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730881152).

1040862816 is an abundant number, since it is smaller than the sum of its proper divisors (2420899488).

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

1040862816 is a wasteful number, since it uses less digits than its factorization.

1040862816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1040862816 is about 32262.4056139650. The cubic root of 1040862816 is about 1013.4395091116.

The spelling of 1040862816 in words is "one billion, forty million, eight hundred sixty-two thousand, eight hundred sixteen".