30199942080 has 1344 divisors, whose sum is σ = 140227117056. Its totient is φ = 5778432000.

The previous prime is 30199942061. The next prime is 30199942093. The reversal of 30199942080 is 8024999103.

30199942080 is a `hidden beast` number, since 30 + 199 + 9 + 420 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 158114785 + ... + 158114975.

Almost surely, 2^30199942080 is an apocalyptic number.

30199942080 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 30199942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70113558528).

30199942080 is an abundant number, since it is smaller than the sum of its proper divisors (110027174976).

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

30199942080 is a wasteful number, since it uses less digits than its factorization.

30199942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

It can be divided in two parts, 30199 and 942080, that added together give a palindrome (972279).

The spelling of 30199942080 in words is "thirty billion, one hundred ninety-nine million, nine hundred forty-two thousand, eighty".