410164968960 has 480 divisors, whose sum is σ = 1490181675840. Its totient is φ = 104064221184.

The previous prime is 410164968947. The next prime is 410164968979. The reversal of 410164968960 is 69869461014.

It is a happy number.

410164968960 is a `hidden beast` number, since 4 + 1 + 0 + 16 + 496 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 410164968897 and 410164968906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104392276 + ... + 104396204.

It is an arithmetic number, because the mean of its divisors is an integer number (3104545158).

Almost surely, 2^410164968960 is an apocalyptic number.

410164968960 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 410164968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745090837920).

410164968960 is an abundant number, since it is smaller than the sum of its proper divisors (1080016706880).

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

410164968960 is a wasteful number, since it uses less digits than its factorization.

410164968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 410164968960 in words is "four hundred ten billion, one hundred sixty-four million, nine hundred sixty-eight thousand, nine hundred sixty".