1322721354240 has 720 divisors, whose sum is σ = 5422742469144. Its totient is φ = 295985479680.

The previous prime is 1322721354223. The next prime is 1322721354281. The reversal of 1322721354240 is 424531272231.

1322721354240 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 72 + 1 + 3 + 542 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1216591352064 + 106130002176 = 1102992^2 + 325776^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 1322721354195 and 1322721354204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36223672 + ... + 36260168.

Almost surely, 2^{1322721354240} is an apocalyptic number.

1322721354240 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 1322721354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711371234572).

1322721354240 is an abundant number, since it is smaller than the sum of its proper divisors (4100021114904).

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

1322721354240 is a wasteful number, since it uses less digits than its factorization.

1322721354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36561 (or 36531 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1322721354240 in words is "one trillion, three hundred twenty-two billion, seven hundred twenty-one million, three hundred fifty-four thousand, two hundred forty".