1933434630401 has 32 divisors (see below), whose sum is σ = 2043772711200. Its totient is φ = 1826557931520.

The previous prime is 1933434630383. The next prime is 1933434630403. The reversal of 1933434630401 is 1040364343391.

It is a happy number.

It is a Cunningham number, because it is equal to 1390480²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 1216000220176 + 717434410225 = 1102724^2 + 847015^2 .

It is a cyclic number.

It is not a de Polignac number, because 1933434630401 - 2¹⁴ = 1933434614017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1933434630403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98932691 + ... + 98952231.

It is an arithmetic number, because the mean of its divisors is an integer number (63867897225).

Almost surely, 2^{1933434630401} is an apocalyptic number.

It is an amenable number.

1933434630401 is a deficient number, since it is larger than the sum of its proper divisors (110338080799).

1933434630401 is a wasteful number, since it uses less digits than its factorization.

1933434630401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20069.

The product of its (nonzero) digits is 279936, while the sum is 41.

Adding to 1933434630401 its reverse (1040364343391), we get a palindrome (2973798973792).

The spelling of 1933434630401 in words is "one trillion, nine hundred thirty-three billion, four hundred thirty-four million, six hundred thirty thousand, four hundred one".