30814050540 has 288 divisors, whose sum is σ = 108801294336. Its totient is φ = 6377978880.

The previous prime is 30814050529. The next prime is 30814050541. The reversal of 30814050540 is 4505041803.

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 = 30814050498 and 30814050507.

It is not an unprimeable number, because it can be changed into a prime (30814050541) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3757845 + ... + 3766035.

It is an arithmetic number, because the mean of its divisors is an integer number (377782272).

Almost surely, 2^30814050540 is an apocalyptic number.

30814050540 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 30814050540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54400647168).

30814050540 is an abundant number, since it is smaller than the sum of its proper divisors (77987243796).

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

30814050540 is a wasteful number, since it uses less digits than its factorization.

30814050540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 30814050540 in words is "thirty billion, eight hundred fourteen million, fifty thousand, five hundred forty".