30461228640 has 144 divisors (see below), whose sum is σ = 109420038000. Its totient is φ = 7695461376.

The previous prime is 30461228599. The next prime is 30461228663. The reversal of 30461228640 is 4682216403.

30461228640 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 1 + 2 + 2 + 8 + 640 = 666.

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

It is a super-3 number, since 3×30461228640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30461228595 and 30461228604.

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 23 ways as a sum of consecutive naturals, for example, 529315 + ... + 584034.

It is an arithmetic number, because the mean of its divisors is an integer number (759861375).

Almost surely, 2^30461228640 is an apocalyptic number.

30461228640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30461228640 is an abundant number, since it is smaller than the sum of its proper divisors (78958809360).

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

30461228640 is a wasteful number, since it uses less digits than its factorization.

30461228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113389 (or 1113378 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 30461228640 in words is "thirty billion, four hundred sixty-one million, two hundred twenty-eight thousand, six hundred forty".