1140332420304 has 480 divisors, whose sum is σ = 4285773692928. Its totient is φ = 274171392000.

The previous prime is 1140332420299. The next prime is 1140332420369. The reversal of 1140332420304 is 4030242330411.

1140332420304 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 332 + 4 + 20 + 304 = 666.

It is a super-2 number, since 2×1140332420304² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7833624 + ... + 7977864.

Almost surely, 2^{1140332420304} is an apocalyptic number.

1140332420304 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 1140332420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142886846464).

1140332420304 is an abundant number, since it is smaller than the sum of its proper divisors (3145441272624).

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

1140332420304 is a wasteful number, since it uses less digits than its factorization.

1140332420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144327 (or 144318 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1140332420304 its reverse (4030242330411), we get a palindrome (5170574750715).

The spelling of 1140332420304 in words is "one trillion, one hundred forty billion, three hundred thirty-two million, four hundred twenty thousand, three hundred four".