401335116 has 144 divisors (see below), whose sum is σ = 1227792384. Its totient is φ = 99560448.

The previous prime is 401335091. The next prime is 401335139. The reversal of 401335116 is 611533104.

It is a super-2 number, since 2×401335116² = 322139750669466912, which contains 22 as substring.

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, 240501 + ... + 242163.

It is an arithmetic number, because the mean of its divisors is an integer number (8526336).

Almost surely, 2^401335116 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 401335116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613896192).

401335116 is an abundant number, since it is smaller than the sum of its proper divisors (826457268).

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

401335116 is a wasteful number, since it uses less digits than its factorization.

401335116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 401335116 is about 20033.3500942803. The cubic root of 401335116 is about 737.6251575773.

The spelling of 401335116 in words is "four hundred one million, three hundred thirty-five thousand, one hundred sixteen".