420540413331033 has 6 divisors (see below), whose sum is σ = 607447263700394. Its totient is φ = 280360275554016.

The previous prime is 420540413330993. The next prime is 420540413331053. The reversal of 420540413331033 is 330133314045024.

420540413331033 is a `hidden beast` number, since 4 + 2 + 0 + 540 + 4 + 1 + 3 + 3 + 3 + 103 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 418666107214224 + 1874306116809 = 20461332^2 + 1369053^2 .

It is not a de Polignac number, because 420540413331033 - 2¹² = 420540413326937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420540413331053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23363356296160 + ... + 23363356296177.

Almost surely, 2^{420540413331033} is an apocalyptic number.

It is an amenable number.

420540413331033 is a deficient number, since it is larger than the sum of its proper divisors (186906850369361).

420540413331033 is a wasteful number, since it uses less digits than its factorization.

420540413331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46726712592343 (or 46726712592340 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 420540413331033 its reverse (330133314045024), we get a palindrome (750673727376057).

The spelling of 420540413331033 in words is "four hundred twenty trillion, five hundred forty billion, four hundred thirteen million, three hundred thirty-one thousand, thirty-three".