4021324401312 has 144 divisors (see below), whose sum is σ = 11472751180800. Its totient is φ = 1336094562816.

The previous prime is 4021324401233. The next prime is 4021324401331. The reversal of 4021324401312 is 2131044231204.

4021324401312 is a `hidden beast` number, since 4 + 0 + 21 + 324 + 4 + 0 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 342438513 + ... + 342450255.

It is an arithmetic number, because the mean of its divisors is an integer number (79671883200).

Almost surely, 2^{4021324401312} 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 4021324401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736375590400).

4021324401312 is an abundant number, since it is smaller than the sum of its proper divisors (7451426779488).

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

4021324401312 is a wasteful number, since it uses less digits than its factorization.

4021324401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15515 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4021324401312 its reverse (2131044231204), we get a palindrome (6152368632516).

The spelling of 4021324401312 in words is "four trillion, twenty-one billion, three hundred twenty-four million, four hundred one thousand, three hundred twelve".