1260040320 has 512 divisors, whose sum is σ = 5569689600. Its totient is φ = 261550080.

The previous prime is 1260040307. The next prime is 1260040321. The reversal of 1260040320 is 230400621.

It is a happy number.

1260040320 is a `hidden beast` number, since 1 + 2 + 600 + 40 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1260040293 and 1260040302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330087 + ... + 1331033.

It is an arithmetic number, because the mean of its divisors is an integer number (10878300).

Almost surely, 2^1260040320 is an apocalyptic number.

1260040320 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 1260040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784844800).

1260040320 is an abundant number, since it is smaller than the sum of its proper divisors (4309649280).

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

1260040320 is a wasteful number, since it uses less digits than its factorization.

1260040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1260040320 is about 35497.0466377134. The cubic root of 1260040320 is about 1080.0938190103.

Adding to 1260040320 its reverse (230400621), we get a palindrome (1490440941).

The spelling of 1260040320 in words is "one billion, two hundred sixty million, forty thousand, three hundred twenty".