410014950816 has 192 divisors, whose sum is σ = 1161358442496. Its totient is φ = 126289152000.

The previous prime is 410014950803. The next prime is 410014950871. The reversal of 410014950816 is 618059410014.

It is a super-2 number, since 2×410014950816² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41132265 + ... + 41142231.

It is an arithmetic number, because the mean of its divisors is an integer number (6048741888).

Almost surely, 2^410014950816 is an apocalyptic number.

410014950816 is a gapful number since it is divisible by the number (46) 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 410014950816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580679221248).

410014950816 is an abundant number, since it is smaller than the sum of its proper divisors (751343491680).

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

410014950816 is a wasteful number, since it uses less digits than its factorization.

410014950816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 410014950816 in words is "four hundred ten billion, fourteen million, nine hundred fifty thousand, eight hundred sixteen".