411401016 has 96 divisors (see below), whose sum is σ = 1203930000. Its totient is φ = 126162432.

The previous prime is 411401009. The next prime is 411401017. The reversal of 411401016 is 610104114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 411401016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411401017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391660 + ... + 392708.

Almost surely, 2^411401016 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 411401016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601965000).

411401016 is an abundant number, since it is smaller than the sum of its proper divisors (792528984).

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

411401016 is a wasteful number, since it uses less digits than its factorization.

411401016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 411401016 is about 20283.0228516363. The cubic root of 411401016 is about 743.7411083277.

The spelling of 411401016 in words is "four hundred eleven million, four hundred one thousand, sixteen".