30005051040 has 144 divisors (see below), whose sum is σ = 102505017888. Its totient is φ = 7992534528.

The previous prime is 30005051039. The next prime is 30005051071. The reversal of 30005051040 is 4015050003.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 1352679 + ... + 1374681.

It is an arithmetic number, because the mean of its divisors is an integer number (711840402).

Almost surely, 2^30005051040 is an apocalyptic number.

30005051040 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 30005051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51252508944).

30005051040 is an abundant number, since it is smaller than the sum of its proper divisors (72499966848).

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

30005051040 is a wasteful number, since it uses less digits than its factorization.

30005051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22971 (or 22960 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The spelling of 30005051040 in words is "thirty billion, five million, fifty-one thousand, forty".