306020413440 has 936 divisors, whose sum is σ = 1274892847488. Its totient is φ = 67629219840.

The previous prime is 306020413423. The next prime is 306020413453. The reversal of 306020413440 is 44314020603.

306020413440 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 204 + 13 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279981534 + ... + 279982626.

It is an arithmetic number, because the mean of its divisors is an integer number (1362065008).

Almost surely, 2^306020413440 is an apocalyptic number.

306020413440 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 306020413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637446423744).

306020413440 is an abundant number, since it is smaller than the sum of its proper divisors (968872434048).

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

306020413440 is a wasteful number, since it uses less digits than its factorization.

306020413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 306020413440 in words is "three hundred six billion, twenty million, four hundred thirteen thousand, four hundred forty".