30441611340 has 288 divisors, whose sum is σ = 112221293184. Its totient is φ = 6520504320.

The previous prime is 30441611339. The next prime is 30441611341. The reversal of 30441611340 is 4311614403.

30441611340 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 1 + 611 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (30441611339) and next prime (30441611341).

It is not an unprimeable number, because it can be changed into a prime (30441611341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5159272 + ... + 5165168.

It is an arithmetic number, because the mean of its divisors is an integer number (389657268).

Almost surely, 2^30441611340 is an apocalyptic number.

30441611340 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 30441611340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56110646592).

30441611340 is an abundant number, since it is smaller than the sum of its proper divisors (81779681844).

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

30441611340 is a wasteful number, since it uses less digits than its factorization.

30441611340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30441611340 in words is "thirty billion, four hundred forty-one million, six hundred eleven thousand, three hundred forty".