30201441442401 has 32 divisors (see below), whose sum is σ = 40988265984000. Its totient is φ = 19777104547200.

The previous prime is 30201441442391. The next prime is 30201441442423. The reversal of 30201441442401 is 10424414410203.

It is a happy number.

It is not a de Polignac number, because 30201441442401 - 2⁷ = 30201441442273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30201441042401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435138301 + ... + 435207701.

It is an arithmetic number, because the mean of its divisors is an integer number (1280883312000).

Almost surely, 2^{30201441442401} is an apocalyptic number.

It is an amenable number.

30201441442401 is a deficient number, since it is larger than the sum of its proper divisors (10786824541599).

30201441442401 is a wasteful number, since it uses less digits than its factorization.

30201441442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78909.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 30201441442401 its reverse (10424414410203), we get a palindrome (40625855852604).

The spelling of 30201441442401 in words is "thirty trillion, two hundred one billion, four hundred forty-one million, four hundred forty-two thousand, four hundred one".