1071283973760 has 3456 divisors, whose sum is σ = 5404173465600. Its totient is φ = 193133445120.

The previous prime is 1071283973759. The next prime is 1071283973801. The reversal of 1071283973760 is 673793821701.

1071283973760 is a `hidden beast` number, since 107 + 1 + 2 + 83 + 97 + 376 + 0 = 666.

It is a super-4 number, since 4×1071283973760⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1071283973697 and 1071283973706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8435306817 + ... + 8435306943.

It is an arithmetic number, because the mean of its divisors is an integer number (1563707600).

Almost surely, 2^{1071283973760} is an apocalyptic number.

1071283973760 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 1071283973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702086732800).

1071283973760 is an abundant number, since it is smaller than the sum of its proper divisors (4332889491840).

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

1071283973760 is a wasteful number, since it uses less digits than its factorization.

1071283973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 1071283973760 in words is "one trillion, seventy-one billion, two hundred eighty-three million, nine hundred seventy-three thousand, seven hundred sixty".