401842116 has 81 divisors (see below), whose sum is σ = 1104210471. Its totient is φ = 123162624.

The previous prime is 401842109. The next prime is 401842121. The reversal of 401842116 is 611248104.

It is a happy number.

The square root of 401842116 is 20046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28579716 + 373262400 = 5346^2 + 19320^2 .

It is a super-2 number, since 2×401842116² = 322954172382714912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401842116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1563460 + ... + 1563716.

Almost surely, 2^401842116 is an apocalyptic number.

401842116 is the 20046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401842116

401842116 is an abundant number, since it is smaller than the sum of its proper divisors (702368355).

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

401842116 is a wasteful number, since it uses less digits than its factorization.

401842116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 275 counting only the distinct ones).

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

The cubic root of 401842116 is about 737.9356367514.

The spelling of 401842116 in words is "four hundred one million, eight hundred forty-two thousand, one hundred sixteen".