305428069440 has 896 divisors, whose sum is σ = 1219121971200. Its totient is φ = 71421419520.

The previous prime is 305428069423. The next prime is 305428069451. The reversal of 305428069440 is 44960824503.

305428069440 is a `hidden beast` number, since 3 + 0 + 542 + 8 + 0 + 69 + 4 + 40 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 493421451 + ... + 493422069.

It is an arithmetic number, because the mean of its divisors is an integer number (1360627200).

Almost surely, 2^305428069440 is an apocalyptic number.

305428069440 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 305428069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609560985600).

305428069440 is an abundant number, since it is smaller than the sum of its proper divisors (913693901760).

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

305428069440 is a wasteful number, since it uses less digits than its factorization.

305428069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 856 counting only the distinct ones).

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

The spelling of 305428069440 in words is "three hundred five billion, four hundred twenty-eight million, sixty-nine thousand, four hundred forty".