30435044300401 has 24 divisors (see below), whose sum is σ = 34901317762200. Its totient is φ = 26436439351296.

The previous prime is 30435044300389. The next prime is 30435044300501. The reversal of 30435044300401 is 10400344053403.

It can be written as a sum of positive squares in 12 ways, for example, as 15175270847025 + 15259773453376 = 3895545^2 + 3906376^2 .

It is not a de Polignac number, because 30435044300401 - 2²⁹ = 30434507429489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30435044300501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14682921 + ... + 16627033.

It is an arithmetic number, because the mean of its divisors is an integer number (1454221573425).

Almost surely, 2^{30435044300401} is an apocalyptic number.

It is an amenable number.

30435044300401 is a deficient number, since it is larger than the sum of its proper divisors (4466273461799).

30435044300401 is a wasteful number, since it uses less digits than its factorization.

30435044300401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949605 (or 1949592 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 30435044300401 its reverse (10400344053403), we get a palindrome (40835388353804).

The spelling of 30435044300401 in words is "thirty trillion, four hundred thirty-five billion, forty-four million, three hundred thousand, four hundred one".