410131000144016 has 20 divisors (see below), whose sum is σ = 841371684119532. Its totient is φ = 193002823597056.

The previous prime is 410131000144009. The next prime is 410131000144109. The reversal of 410131000144016 is 610441000131014.

It can be written as a sum of positive squares in 2 ways, for example, as 226240585359616 + 183890414784400 = 15041296^2 + 13560620^2 .

It is a super-3 number, since 3×410131000144016³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 753917279405 + ... + 753917279948.

Almost surely, 2^{410131000144016} is an apocalyptic number.

It is an amenable number.

410131000144016 is an abundant number, since it is smaller than the sum of its proper divisors (431240683975516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

410131000144016 is a wasteful number, since it uses less digits than its factorization.

410131000144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507834559378 (or 1507834559372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 410131000144016 in words is "four hundred ten trillion, one hundred thirty-one billion, one hundred forty-four thousand, sixteen".