30120727040 has 160 divisors (see below), whose sum is σ = 74961920880. Its totient is φ = 11593580544.

The previous prime is 30120727003. The next prime is 30120727057. The reversal of 30120727040 is 4072702103.

It can be written as a sum of positive squares in 8 ways, for example, as 1535385856 + 28585341184 = 39184^2 + 169072^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32145452 + ... + 32146388.

Almost surely, 2^30120727040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30120727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37480960440).

30120727040 is an abundant number, since it is smaller than the sum of its proper divisors (44841193840).

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

30120727040 is an equidigital number, since it uses as much as digits as its factorization.

30120727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The spelling of 30120727040 in words is "thirty billion, one hundred twenty million, seven hundred twenty-seven thousand, forty".