30047127840 has 144 divisors (see below), whose sum is σ = 102918324600. Its totient is φ = 7982678016.

The previous prime is 30047127833. The next prime is 30047127863. The reversal of 30047127840 is 4872174003.

It is a happy number.

30047127840 is a `hidden beast` number, since 300 + 47 + 1 + 278 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16152376464 + 13894751376 = 127092^2 + 117876^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 30047127795 and 30047127804.

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, 348576 + ... + 426144.

Almost surely, 2^30047127840 is an apocalyptic number.

30047127840 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 30047127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51459162300).

30047127840 is an abundant number, since it is smaller than the sum of its proper divisors (72871196760).

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

30047127840 is a wasteful number, since it uses less digits than its factorization.

30047127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77859 (or 77848 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 30047127840 in words is "thirty billion, forty-seven million, one hundred twenty-seven thousand, eight hundred forty".