304368503040 has 864 divisors, whose sum is σ = 1277517136896. Its totient is φ = 67931136000.

The previous prime is 304368503039. The next prime is 304368503041. The reversal of 304368503040 is 40305863403.

It is an interprime number because it is at equal distance from previous prime (304368503039) and next prime (304368503041).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304368502986 and 304368503004.

It is not an unprimeable number, because it can be changed into a prime (304368503041) by changing a digit.

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, 93621415 + ... + 93624665.

Almost surely, 2^304368503040 is an apocalyptic number.

304368503040 is a gapful number since it is divisible by the number (30) 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 304368503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638758568448).

304368503040 is an abundant number, since it is smaller than the sum of its proper divisors (973148633856).

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

304368503040 is an equidigital number, since it uses as much as digits as its factorization.

304368503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 304368503040 in words is "three hundred four billion, three hundred sixty-eight million, five hundred three thousand, forty".