401213234304 has 192 divisors, whose sum is σ = 1232419406400. Its totient is φ = 124913940480.

The previous prime is 401213234293. The next prime is 401213234321. The reversal of 401213234304 is 403432312104.

401213234304 is a `hidden beast` number, since 4 + 0 + 121 + 3 + 234 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424962 + ... + 1683134.

It is an arithmetic number, because the mean of its divisors is an integer number (6418851075).

Almost surely, 2^401213234304 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 401213234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616209703200).

401213234304 is an abundant number, since it is smaller than the sum of its proper divisors (831206172096).

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

401213234304 is a wasteful number, since it uses less digits than its factorization.

401213234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258283 (or 258268 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 401213234304 its reverse (403432312104), we get a palindrome (804645546408).

The spelling of 401213234304 in words is "four hundred one billion, two hundred thirteen million, two hundred thirty-four thousand, three hundred four".