30309300840 has 768 divisors, whose sum is σ = 123070752000. Its totient is φ = 5898977280.

The previous prime is 30309300839. The next prime is 30309300863. The reversal of 30309300840 is 4800390303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30309300798 and 30309300807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59546506 + ... + 59547014.

It is an arithmetic number, because the mean of its divisors is an integer number (160248375).

Almost surely, 2^30309300840 is an apocalyptic number.

30309300840 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 30309300840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61535376000).

30309300840 is an abundant number, since it is smaller than the sum of its proper divisors (92761451160).

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

30309300840 is a wasteful number, since it uses less digits than its factorization.

30309300840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 30309300840 in words is "thirty billion, three hundred nine million, three hundred thousand, eight hundred forty".