322401103440 has 640 divisors, whose sum is σ = 1158093877248. Its totient is φ = 73574645760.

The previous prime is 322401103439. The next prime is 322401103477. The reversal of 322401103440 is 44301104223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 322401103440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502965520 + ... + 502966160.

Almost surely, 2^322401103440 is an apocalyptic number.

322401103440 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 322401103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579046938624).

322401103440 is an abundant number, since it is smaller than the sum of its proper divisors (835692773808).

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

322401103440 is a wasteful number, since it uses less digits than its factorization.

322401103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 322401103440 its reverse (44301104223), we get a palindrome (366702207663).

The spelling of 322401103440 in words is "three hundred twenty-two billion, four hundred one million, one hundred three thousand, four hundred forty".