1040168000 has 56 divisors (see below), whose sum is σ = 2575995864. Its totient is φ = 416064000.

The previous prime is 1040167949. The next prime is 1040168011. The reversal of 1040168000 is 8610401.

It can be written as a sum of positive squares in 4 ways, for example, as 279290944 + 760877056 = 16712^2 + 27584^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57011 + ... + 73010.

Almost surely, 2^1040168000 is an apocalyptic number.

1040168000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040168000 is an abundant number, since it is smaller than the sum of its proper divisors (1535827864).

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

1040168000 is an equidigital number, since it uses as much as digits as its factorization.

1040168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130048 (or 130028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1040168000 is about 32251.6356174381. The cubic root of 1040168000 is about 1013.2139556200.

Adding to 1040168000 its reverse (8610401), we get a palindrome (1048778401).

The spelling of 1040168000 in words is "one billion, forty million, one hundred sixty-eight thousand".