30979386144 has 384 divisors, whose sum is σ = 112021056000. Its totient is φ = 8126300160.

The previous prime is 30979386131. The next prime is 30979386157. The reversal of 30979386144 is 44168397903.

It is a happy number.

30979386144 is a `hidden beast` number, since 30 + 97 + 9 + 386 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (30979386131) and next prime (30979386157).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 4211782 + ... + 4219130.

It is an arithmetic number, because the mean of its divisors is an integer number (291721500).

Almost surely, 2^30979386144 is an apocalyptic number.

30979386144 is a gapful number since it is divisible by the number (34) 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 30979386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56010528000).

30979386144 is an abundant number, since it is smaller than the sum of its proper divisors (81041669856).

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

30979386144 is a wasteful number, since it uses less digits than its factorization.

30979386144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 30979386144 in words is "thirty billion, nine hundred seventy-nine million, three hundred eighty-six thousand, one hundred forty-four".