30401980560 has 640 divisors, whose sum is σ = 127391846400. Its totient is φ = 6509445120.

The previous prime is 30401980537. The next prime is 30401980601. The reversal of 30401980560 is 6508910403.

30401980560 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 1 + 98 + 0 + 560 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 27865615 + ... + 27866705.

It is an arithmetic number, because the mean of its divisors is an integer number (199049760).

Almost surely, 2^30401980560 is an apocalyptic number.

30401980560 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 30401980560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63695923200).

30401980560 is an abundant number, since it is smaller than the sum of its proper divisors (96989865840).

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

30401980560 is a wasteful number, since it uses less digits than its factorization.

30401980560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 30401980560 in words is "thirty billion, four hundred one million, nine hundred eighty thousand, five hundred sixty".