1330655040 has 560 divisors, whose sum is σ = 5576376960. Its totient is φ = 296939520.

The previous prime is 1330655017. The next prime is 1330655057. The reversal of 1330655040 is 405560331.

1330655040 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 655 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1330654995 and 1330655013.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 3706381 + ... + 3706739.

It is an arithmetic number, because the mean of its divisors is an integer number (9957816).

Almost surely, 2^1330655040 is an apocalyptic number.

1330655040 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 1330655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788188480).

1330655040 is an abundant number, since it is smaller than the sum of its proper divisors (4245721920).

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

1330655040 is a wasteful number, since it uses less digits than its factorization.

1330655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1330655040 is about 36478.1446896632. The cubic root of 1330655040 is about 1099.9049614860.

The spelling of 1330655040 in words is "one billion, three hundred thirty million, six hundred fifty-five thousand, forty".