401366016 has 132 divisors (see below), whose sum is σ = 1202604312. Its totient is φ = 133705728.

The previous prime is 401365997. The next prime is 401366071. The reversal of 401366016 is 610663104.

401366016 is a `hidden beast` number, since 40 + 13 + 6 + 601 + 6 = 666.

It is a super-2 number, since 2×401366016² = 322189357599424512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248026 + ... + 249638.

Almost surely, 2^401366016 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 401366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601302156).

401366016 is an abundant number, since it is smaller than the sum of its proper divisors (801238296).

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

401366016 is an equidigital number, since it uses as much as digits as its factorization.

401366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 401366016 is about 20034.1212934334. The cubic root of 401366016 is about 737.6440877527.

The spelling of 401366016 in words is "four hundred one million, three hundred sixty-six thousand, sixteen".