322151250540 has 384 divisors, whose sum is σ = 1065469870080. Its totient is φ = 71217957888.

The previous prime is 322151250539. The next prime is 322151250587. The reversal of 322151250540 is 45052151223.

322151250540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 322151250498 and 322151250507.

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, 389541607 + ... + 389542433.

It is an arithmetic number, because the mean of its divisors is an integer number (2774661120).

Almost surely, 2^322151250540 is an apocalyptic number.

322151250540 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 322151250540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532734935040).

322151250540 is an abundant number, since it is smaller than the sum of its proper divisors (743318619540).

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

322151250540 is a wasteful number, since it uses less digits than its factorization.

322151250540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 322151250540 in words is "three hundred twenty-two billion, one hundred fifty-one million, two hundred fifty thousand, five hundred forty".