305385020640 has 864 divisors, whose sum is σ = 1266414930144. Its totient is φ = 69289758720.

The previous prime is 305385020627. The next prime is 305385020651. The reversal of 305385020640 is 46020583503.

It is a happy number.

305385020640 is a `hidden beast` number, since 3 + 0 + 5 + 3 + 8 + 5 + 0 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 305385020595 and 305385020604.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 299103330 + ... + 299104350.

It is an arithmetic number, because the mean of its divisors is an integer number (1465758021).

Almost surely, 2^305385020640 is an apocalyptic number.

305385020640 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 305385020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633207465072).

305385020640 is an abundant number, since it is smaller than the sum of its proper divisors (961029909504).

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

305385020640 is a wasteful number, since it uses less digits than its factorization.

305385020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 305385020640 in words is "three hundred five billion, three hundred eighty-five million, twenty thousand, six hundred forty".