1330010640 has 720 divisors, whose sum is σ = 5837090688. Its totient is φ = 264757248.

The previous prime is 1330010611. The next prime is 1330010641. The reversal of 1330010640 is 460100331.

1330010640 is a `hidden beast` number, since 13 + 3 + 0 + 0 + 10 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1330010641) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 30930459 + ... + 30930501.

Almost surely, 2^1330010640 is an apocalyptic number.

1330010640 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 1330010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918545344).

1330010640 is an abundant number, since it is smaller than the sum of its proper divisors (4507080048).

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

1330010640 is a wasteful number, since it uses less digits than its factorization.

1330010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330010640 is about 36469.3109339894. The cubic root of 1330010640 is about 1099.7273814770.

Adding to 1330010640 its reverse (460100331), we get a palindrome (1790110971).

The spelling of 1330010640 in words is "one billion, three hundred thirty million, ten thousand, six hundred forty".