30460271040 has 336 divisors, whose sum is σ = 112983081120. Its totient is φ = 7506984960.

The previous prime is 30460271027. The next prime is 30460271129. The reversal of 30460271040 is 4017206403.

30460271040 is a `hidden beast` number, since 3 + 0 + 4 + 602 + 7 + 10 + 40 = 666.

It is a super-2 number, since 2×30460271040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30460270995 and 30460271013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2236732 + ... + 2250308.

It is an arithmetic number, because the mean of its divisors is an integer number (336259170).

Almost surely, 2^30460271040 is an apocalyptic number.

30460271040 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 30460271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56491540560).

30460271040 is an abundant number, since it is smaller than the sum of its proper divisors (82522810080).

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

30460271040 is a wasteful number, since it uses less digits than its factorization.

30460271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13660 (or 13647 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 30460271040 its reverse (4017206403), we get a palindrome (34477477443).

The spelling of 30460271040 in words is "thirty billion, four hundred sixty million, two hundred seventy-one thousand, forty".