322404004342400 has 96 divisors (see below), whose sum is σ = 796557726209280. Its totient is φ = 128942319283200.

The previous prime is 322404004342369. The next prime is 322404004342451. The reversal of 322404004342400 is 4243400404223.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13882337 + ... + 28940063.

It is an arithmetic number, because the mean of its divisors is an integer number (8297476314680).

Almost surely, 2^{322404004342400} 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 322404004342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398278863104640).

322404004342400 is an abundant number, since it is smaller than the sum of its proper divisors (474153721866880).

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

322404004342400 is a wasteful number, since it uses less digits than its factorization.

322404004342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15064442 (or 15064425 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 322404004342400 its reverse (4243400404223), we get a palindrome (326647404746623).

The spelling of 322404004342400 in words is "three hundred twenty-two trillion, four hundred four billion, four million, three hundred forty-two thousand, four hundred".