1040165280 has 768 divisors, whose sum is σ = 4702924800. Its totient is φ = 208465920.

The previous prime is 1040165267. The next prime is 1040165327. The reversal of 1040165280 is 825610401.

1040165280 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 652 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17629891 + ... + 17629949.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^1040165280 is an apocalyptic number.

1040165280 is a gapful number since it is divisible by the number (10) 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 1040165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351462400).

1040165280 is an abundant number, since it is smaller than the sum of its proper divisors (3662759520).

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

1040165280 is a wasteful number, since it uses less digits than its factorization.

1040165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1040165280 is about 32251.5934490065. The cubic root of 1040165280 is about 1013.2130724472.

Adding to 1040165280 its reverse (825610401), we get a palindrome (1865775681).

The spelling of 1040165280 in words is "one billion, forty million, one hundred sixty-five thousand, two hundred eighty".