30980814469380 has 576 divisors, whose sum is σ = 106806615552000. Its totient is φ = 7503234342912.

The previous prime is 30980814469369. The next prime is 30980814469391. The reversal of 30980814469380 is 8396441808903.

30980814469380 is a `hidden beast` number, since 3 + 0 + 9 + 80 + 8 + 14 + 469 + 3 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (30980814469369) and next prime (30980814469391).

It is a super-2 number, since 2×30980814469380² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 7449099741 + ... + 7449103899.

It is an arithmetic number, because the mean of its divisors is an integer number (185428152000).

Almost surely, 2^{30980814469380} is an apocalyptic number.

30980814469380 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 30980814469380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53403307776000).

30980814469380 is an abundant number, since it is smaller than the sum of its proper divisors (75825801082620).

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

30980814469380 is a wasteful number, since it uses less digits than its factorization.

30980814469380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 30980814469380 in words is "thirty trillion, nine hundred eighty billion, eight hundred fourteen million, four hundred sixty-nine thousand, three hundred eighty".