401337827244 has 192 divisors, whose sum is σ = 1092238049280. Its totient is φ = 127292497920.

The previous prime is 401337827243. The next prime is 401337827251. The reversal of 401337827244 is 442728733104.

401337827244 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 378 + 272 + 4 + 4 = 666.

It is a super-2 number, since 2×401337827244² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401337827244.

It is not an unprimeable number, because it can be changed into a prime (401337827243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48042972 + ... + 48051324.

It is an arithmetic number, because the mean of its divisors is an integer number (5688739840).

Almost surely, 2^401337827244 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 401337827244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546119024640).

401337827244 is an abundant number, since it is smaller than the sum of its proper divisors (690900222036).

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

401337827244 is a wasteful number, since it uses less digits than its factorization.

401337827244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 401337827244 in words is "four hundred one billion, three hundred thirty-seven million, eight hundred twenty-seven thousand, two hundred forty-four".