307440645120 has 1386 divisors, whose sum is σ = 1318406659686. Its totient is φ = 68558192640.

The previous prime is 307440645089. The next prime is 307440645121. The reversal of 307440645120 is 21546044703.

307440645120 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 4 + 0 + 645 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17703899136 + 289736745984 = 133056^2 + 538272^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307440645121) 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 125 ways as a sum of consecutive naturals, for example, 7498552300 + ... + 7498552340.

Almost surely, 2^307440645120 is an apocalyptic number.

307440645120 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 307440645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659203329843).

307440645120 is an abundant number, since it is smaller than the sum of its proper divisors (1010966014566).

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

307440645120 is an frugal number, since it uses more digits than its factorization.

307440645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 307440645120 its reverse (21546044703), we get a palindrome (328986689823).

The spelling of 307440645120 in words is "three hundred seven billion, four hundred forty million, six hundred forty-five thousand, one hundred twenty".