401591216 has 40 divisors (see below), whose sum is σ = 842643984. Its totient is φ = 184308480.

The previous prime is 401591189. The next prime is 401591219. The reversal of 401591216 is 612195104.

It is a super-2 number, since 2×401591216² = 322551009536717312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401591219) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32315 + ... + 42981.

Almost surely, 2^401591216 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 401591216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421321992).

401591216 is an abundant number, since it is smaller than the sum of its proper divisors (441052768).

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

401591216 is a wasteful number, since it uses less digits than its factorization.

401591216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10869 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 401591216 is about 20039.7409164889. The cubic root of 401591216 is about 737.7820220263.

The spelling of 401591216 in words is "four hundred one million, five hundred ninety-one thousand, two hundred sixteen".