411042816 has 88 divisors (see below), whose sum is σ = 1217391840. Its totient is φ = 137005056.

The previous prime is 411042763. The next prime is 411042869. The reversal of 411042816 is 618240114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411042763) and next prime (411042869).

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

It is a self number, because there is not a number n which added to its sum of digits gives 411042816.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20215 + ... + 35081.

Almost surely, 2^411042816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608695920).

411042816 is an abundant number, since it is smaller than the sum of its proper divisors (806349024).

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

411042816 is a wasteful number, since it uses less digits than its factorization.

411042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14896 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 411042816 is about 20274.1908839786. The cubic root of 411042816 is about 743.5251913261.

The spelling of 411042816 in words is "four hundred eleven million, forty-two thousand, eight hundred sixteen".