401338189824 has 576 divisors, whose sum is σ = 1280249530560. Its totient is φ = 111054028800.

The previous prime is 401338189781. The next prime is 401338189849. The reversal of 401338189824 is 428981833104.

It is a happy number.

It is a super-2 number, since 2×401338189824² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266050914 + ... + 1266051230.

It is an arithmetic number, because the mean of its divisors is an integer number (2222655435).

Almost surely, 2^401338189824 is an apocalyptic number.

401338189824 is a gapful number since it is divisible by the number (44) 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 401338189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640124765280).

401338189824 is an abundant number, since it is smaller than the sum of its proper divisors (878911340736).

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

401338189824 is a wasteful number, since it uses less digits than its factorization.

401338189824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 401338189824 in words is "four hundred one billion, three hundred thirty-eight million, one hundred eighty-nine thousand, eight hundred twenty-four".