401322242002304 has 256 divisors, whose sum is σ = 945648597196800. Its totient is φ = 166086983761920.

The previous prime is 401322242002271. The next prime is 401322242002313. The reversal of 401322242002304 is 403200242223104.

It is a super-2 number, since 2×401322242002304² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4767331094 + ... + 4767415274.

It is an arithmetic number, because the mean of its divisors is an integer number (3693939832800).

Almost surely, 2^{401322242002304} 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 401322242002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472824298598400).

401322242002304 is an abundant number, since it is smaller than the sum of its proper divisors (544326355194496).

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

401322242002304 is a wasteful number, since it uses less digits than its factorization.

401322242002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85761 (or 85749 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 401322242002304 its reverse (403200242223104), we get a palindrome (804522484225408).

The spelling of 401322242002304 in words is "four hundred one trillion, three hundred twenty-two billion, two hundred forty-two million, two thousand, three hundred four".