401338080 has 288 divisors, whose sum is σ = 1609826400. Its totient is φ = 89763840.

The previous prime is 401338051. The next prime is 401338087. The reversal of 401338080 is 80833104.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401338080² = 322144508916172800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401338087) 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 47 ways as a sum of consecutive naturals, for example, 204946 + ... + 206894.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2^401338080 is an apocalyptic number.

401338080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804913200).

401338080 is an abundant number, since it is smaller than the sum of its proper divisors (1208488320).

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

401338080 is a wasteful number, since it uses less digits than its factorization.

401338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 401338080 is about 20033.4240707873. The cubic root of 401338080 is about 737.6269734459.

The spelling of 401338080 in words is "four hundred one million, three hundred thirty-eight thousand, eighty".