322155004022400 has 384 divisors, whose sum is σ = 1064104881143040. Its totient is φ = 85664710656000.

The previous prime is 322155004022399. The next prime is 322155004022407. The reversal of 322155004022400 is 4220400551223.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (322155004022407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12869200284 + ... + 12869225316.

It is an arithmetic number, because the mean of its divisors is an integer number (2771106461310).

Almost surely, 2^{322155004022400} is an apocalyptic number.

322155004022400 is a gapful number since it is divisible by the number (30) 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 322155004022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532052440571520).

322155004022400 is an abundant number, since it is smaller than the sum of its proper divisors (741949877120640).

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

322155004022400 is a wasteful number, since it uses less digits than its factorization.

322155004022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28804 (or 28787 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 322155004022400 its reverse (4220400551223), we get a palindrome (326375404573623).

The spelling of 322155004022400 in words is "three hundred twenty-two trillion, one hundred fifty-five billion, four million, twenty-two thousand, four hundred".