322512249840 has 320 divisors, whose sum is σ = 1118227714560. Its totient is φ = 76217057280.

The previous prime is 322512249811. The next prime is 322512249847. The reversal of 322512249840 is 48942215223.

322512249840 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 322512249792 and 322512249801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322512249847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64590384 + ... + 64595376.

It is an arithmetic number, because the mean of its divisors is an integer number (3494461608).

Almost surely, 2^322512249840 is an apocalyptic number.

322512249840 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 322512249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559113857280).

322512249840 is an abundant number, since it is smaller than the sum of its proper divisors (795715464720).

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

322512249840 is a wasteful number, since it uses less digits than its factorization.

322512249840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 322512249840 in words is "three hundred twenty-two billion, five hundred twelve million, two hundred forty-nine thousand, eight hundred forty".