322227095040 has 480 divisors, whose sum is σ = 1148413121856. Its totient is φ = 83448299520.

The previous prime is 322227095023. The next prime is 322227095053. The reversal of 322227095040 is 40590722223.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 322227094986 and 322227095004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248439672 + ... + 248440968.

Almost surely, 2^322227095040 is an apocalyptic number.

322227095040 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 322227095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574206560928).

322227095040 is an abundant number, since it is smaller than the sum of its proper divisors (826186026816).

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

322227095040 is a wasteful number, since it uses less digits than its factorization.

322227095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 322227095040 in words is "three hundred twenty-two billion, two hundred twenty-seven million, ninety-five thousand, forty".