30766144401 has 12 divisors (see below), whose sum is σ = 45873534720. Its totient is φ = 19849125240.

The previous prime is 30766144397. The next prime is 30766144427. The reversal of 30766144401 is 10444166703.

30766144401 is a `hidden beast` number, since 30 + 7 + 6 + 614 + 4 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 30766144401 - 2² = 30766144397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30766144441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55136181 + ... + 55136738.

It is an arithmetic number, because the mean of its divisors is an integer number (3822794560).

Almost surely, 2^30766144401 is an apocalyptic number.

30766144401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

30766144401 is a deficient number, since it is larger than the sum of its proper divisors (15107390319).

30766144401 is a wasteful number, since it uses less digits than its factorization.

30766144401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110272956 (or 110272953 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 30766144401 in words is "thirty billion, seven hundred sixty-six million, one hundred forty-four thousand, four hundred one".