413671561943040 has 864 divisors, whose sum is σ = 1513613998325520. Its totient is φ = 104470265856000.

The previous prime is 413671561943023. The next prime is 413671561943089. The reversal of 413671561943040 is 40349165176314.

413671561943040 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 7 + 1 + 561 + 9 + 4 + 30 + 40 = 666.

It is a super-2 number, since 2×413671561943040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4923974635 + ... + 4924058645.

Almost surely, 2^{413671561943040} is an apocalyptic number.

413671561943040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413671561943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756806999162760).

413671561943040 is an abundant number, since it is smaller than the sum of its proper divisors (1099942436382480).

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

413671561943040 is a wasteful number, since it uses less digits than its factorization.

413671561943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84191 (or 84145 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 413671561943040 in words is "four hundred thirteen trillion, six hundred seventy-one billion, five hundred sixty-one million, nine hundred forty-three thousand, forty".