16403133130461 has 288 divisors, whose sum is σ = 31208922501120. Its totient is φ = 8204047891200.

The previous prime is 16403133130427. The next prime is 16403133130519.

16403133130461 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 31 + 33 + 130 + 461 = 666.

16403133130461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16403133130461 - 2¹⁰ = 16403133129437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16403133130421) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10020239335 + ... + 10020240971.

It is an arithmetic number, because the mean of its divisors is an integer number (108364314240).

Almost surely, 2^{16403133130461} is an apocalyptic number.

16403133130461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16403133130461 is a deficient number, since it is larger than the sum of its proper divisors (14805789370659).

16403133130461 is a wasteful number, since it uses less digits than its factorization.

16403133130461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 1640313 and 3130461, that added together give a palindrome (4770774).

The spelling of 16403133130461 in words is "sixteen trillion, four hundred three billion, one hundred thirty-three million, one hundred thirty thousand, four hundred sixty-one".