30419121672 has 80 divisors (see below), whose sum is σ = 85455144060. Its totient is φ = 10109546496.

The previous prime is 30419121653. The next prime is 30419121679. The reversal of 30419121672 is 27612191403.

30419121672 is a `hidden beast` number, since 304 + 191 + 2 + 167 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29965687236 + 453434436 = 173106^2 + 21294^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30419121679) 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 19 ways as a sum of consecutive naturals, for example, 148728 + ... + 288024.

Almost surely, 2^30419121672 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 30419121672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42727572030).

30419121672 is an abundant number, since it is smaller than the sum of its proper divisors (55036022388).

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

30419121672 is a wasteful number, since it uses less digits than its factorization.

30419121672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139652 (or 139639 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 30419121672 in words is "thirty billion, four hundred nineteen million, one hundred twenty-one thousand, six hundred seventy-two".