410116608000 has 2080 divisors, whose sum is σ = 1781145400320. Its totient is φ = 92897280000.

The previous prime is 410116607993. The next prime is 410116608017. The reversal of 410116608000 is 806611014.

410116608000 is a `hidden beast` number, since 41 + 0 + 1 + 16 + 608 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 13229567985 + ... + 13229568015.

It is an arithmetic number, because the mean of its divisors is an integer number (856319904).

Almost surely, 2^410116608000 is an apocalyptic number.

410116608000 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 410116608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890572700160).

410116608000 is an abundant number, since it is smaller than the sum of its proper divisors (1371028792320).

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

410116608000 is a wasteful number, since it uses less digits than its factorization.

410116608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 410116608000 in words is "four hundred ten billion, one hundred sixteen million, six hundred eight thousand".