1170283645440 has 1280 divisors, whose sum is σ = 5181658352640. Its totient is φ = 246809493504.

The previous prime is 1170283645423. The next prime is 1170283645471. The reversal of 1170283645440 is 445463820711.

1170283645440 is a `hidden beast` number, since 1 + 1 + 70 + 2 + 8 + 36 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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, 509482372 + ... + 509484668.

It is an arithmetic number, because the mean of its divisors is an integer number (4048170588).

Almost surely, 2^{1170283645440} is an apocalyptic number.

1170283645440 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 1170283645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590829176320).

1170283645440 is an abundant number, since it is smaller than the sum of its proper divisors (4011374707200).

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

1170283645440 is an frugal number, since it uses more digits than its factorization.

1170283645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1170283645440 in words is "one trillion, one hundred seventy billion, two hundred eighty-three million, six hundred forty-five thousand, four hundred forty".