322022000040 has 128 divisors (see below), whose sum is σ = 1041279200640. Its totient is φ = 79198350336.

The previous prime is 322022000033. The next prime is 322022000087. The reversal of 322022000040 is 40000220223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 322021999983 and 322022000019.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725534 + ... + 1903026.

It is an arithmetic number, because the mean of its divisors is an integer number (8134993755).

Almost surely, 2^322022000040 is an apocalyptic number.

322022000040 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 322022000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520639600320).

322022000040 is an abundant number, since it is smaller than the sum of its proper divisors (719257200600).

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

322022000040 is a wasteful number, since it uses less digits than its factorization.

322022000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178683 (or 178679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 322022000040 its reverse (40000220223), we get a palindrome (362022220263).

The spelling of 322022000040 in words is "three hundred twenty-two billion, twenty-two million, forty", and thus it is an aban number.