322112032031440 has 480 divisors, whose sum is σ = 944965795104000. Its totient is φ = 99882878312448.

The previous prime is 322112032031417. The next prime is 322112032031443. The reversal of 322112032031440 is 44130230211223.

It is a super-2 number, since 2×322112032031440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 322112032031399 and 322112032031408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322112032031443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521466291 + ... + 522083629.

It is an arithmetic number, because the mean of its divisors is an integer number (1968678739800).

Almost surely, 2^{322112032031440} 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 322112032031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472482897552000).

322112032031440 is an abundant number, since it is smaller than the sum of its proper divisors (622853763072560).

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

322112032031440 is a wasteful number, since it uses less digits than its factorization.

322112032031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617515 (or 617490 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 322112032031440 its reverse (44130230211223), we get a palindrome (366242262242663).

The spelling of 322112032031440 in words is "three hundred twenty-two trillion, one hundred twelve billion, thirty-two million, thirty-one thousand, four hundred forty".