307307442240 has 448 divisors, whose sum is σ = 1101597918720. Its totient is φ = 81642774528.

The previous prime is 307307442227. The next prime is 307307442287. The reversal of 307307442240 is 42244703703.

307307442240 is a `hidden beast` number, since 307 + 3 + 0 + 74 + 42 + 240 = 666.

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 = 307307442195 and 307307442204.

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 63 ways as a sum of consecutive naturals, for example, 235845429 + ... + 235846731.

Almost surely, 2^307307442240 is an apocalyptic number.

307307442240 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 307307442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550798959360).

307307442240 is an abundant number, since it is smaller than the sum of its proper divisors (794290476480).

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

307307442240 is an equidigital number, since it uses as much as digits as its factorization.

307307442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 307307442240 in words is "three hundred seven billion, three hundred seven million, four hundred forty-two thousand, two hundred forty".