1240130304 has 432 divisors, whose sum is σ = 4485680640. Its totient is φ = 330946560.

The previous prime is 1240130267. The next prime is 1240130317. The reversal of 1240130304 is 4030310421.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 17466589 + ... + 17466659.

It is an arithmetic number, because the mean of its divisors is an integer number (10383520).

Almost surely, 2^1240130304 is an apocalyptic number.

1240130304 is a gapful number since it is divisible by the number (14) 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 1240130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242840320).

1240130304 is an abundant number, since it is smaller than the sum of its proper divisors (3245550336).

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

1240130304 is an equidigital number, since it uses as much as digits as its factorization.

1240130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

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

The square root of 1240130304 is about 35215.4838671855. The cubic root of 1240130304 is about 1074.3747015036.

Adding to 1240130304 its reverse (4030310421), we get a palindrome (5270440725).

The spelling of 1240130304 in words is "one billion, two hundred forty million, one hundred thirty thousand, three hundred four".