1322418240 has 672 divisors, whose sum is σ = 5658307200. Its totient is φ = 280350720.

The previous prime is 1322418217. The next prime is 1322418247. The reversal of 1322418240 is 428142231.

1322418240 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 418 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322418247) 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, 69600951 + ... + 69600969.

It is an arithmetic number, because the mean of its divisors is an integer number (8420100).

Almost surely, 2^1322418240 is an apocalyptic number.

1322418240 is a gapful number since it is divisible by the number (10) 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 1322418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829153600).

1322418240 is an abundant number, since it is smaller than the sum of its proper divisors (4335888960).

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

1322418240 is a wasteful number, since it uses less digits than its factorization.

1322418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1322418240 is about 36365.0689535989. The cubic root of 1322418240 is about 1097.6307795373.

The spelling of 1322418240 in words is "one billion, three hundred twenty-two million, four hundred eighteen thousand, two hundred forty".