1320581283840 has 1440 divisors, whose sum is σ = 5851001345280. Its totient is φ = 278628139008.

The previous prime is 1320581283823. The next prime is 1320581283869. The reversal of 1320581283840 is 483821850231.

1320581283840 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 581 + 28 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101583175674 + ... + 101583175686.

Almost surely, 2^{1320581283840} is an apocalyptic number.

1320581283840 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 1320581283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925500672640).

1320581283840 is an abundant number, since it is smaller than the sum of its proper divisors (4530420061440).

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

1320581283840 is an frugal number, since it uses more digits than its factorization.

1320581283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1320581283840 in words is "one trillion, three hundred twenty billion, five hundred eighty-one million, two hundred eighty-three thousand, eight hundred forty".