304274255040 has 1344 divisors, whose sum is σ = 1276833632256. Its totient is φ = 65075871744.

The previous prime is 304274255011. The next prime is 304274255137. The reversal of 304274255040 is 40552472403.

304274255040 is a `hidden beast` number, since 3 + 0 + 4 + 27 + 42 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 304274254986 and 304274255004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3665954839 + ... + 3665954921.

It is an arithmetic number, because the mean of its divisors is an integer number (950025024).

Almost surely, 2^304274255040 is an apocalyptic number.

304274255040 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 304274255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638416816128).

304274255040 is an abundant number, since it is smaller than the sum of its proper divisors (972559377216).

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

304274255040 is a wasteful number, since it uses less digits than its factorization.

304274255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 304274255040 in words is "three hundred four billion, two hundred seventy-four million, two hundred fifty-five thousand, forty".