306381385440 has 960 divisors, whose sum is σ = 1222521854400. Its totient is φ = 71735279616.

The previous prime is 306381385439. The next prime is 306381385447. The reversal of 306381385440 is 44583183603.

306381385440 is a `hidden beast` number, since 3 + 0 + 638 + 1 + 3 + 8 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306381385447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 356671731 + ... + 356672589.

It is an arithmetic number, because the mean of its divisors is an integer number (1273460265).

Almost surely, 2^306381385440 is an apocalyptic number.

306381385440 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 306381385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611260927200).

306381385440 is an abundant number, since it is smaller than the sum of its proper divisors (916140468960).

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

306381385440 is a wasteful number, since it uses less digits than its factorization.

306381385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 306381385440 in words is "three hundred six billion, three hundred eighty-one million, three hundred eighty-five thousand, four hundred forty".