1040635330560 has 816 divisors, whose sum is σ = 4277855452416. Its totient is φ = 237732102144.

The previous prime is 1040635330549. The next prime is 1040635330589. The reversal of 1040635330560 is 650335360401.

1040635330560 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 63 + 5 + 3 + 30 + 560 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 557382747 + ... + 557384613.

Almost surely, 2^{1040635330560} is an apocalyptic number.

1040635330560 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 1040635330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138927726208).

1040635330560 is an abundant number, since it is smaller than the sum of its proper divisors (3237220121856).

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

1040635330560 is an frugal number, since it uses more digits than its factorization.

1040635330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 1040635330560 in words is "one trillion, forty billion, six hundred thirty-five million, three hundred thirty thousand, five hundred sixty".