1073781083440 has 80 divisors (see below), whose sum is σ = 2689648164000. Its totient is φ = 396315887616.

The previous prime is 1073781083369. The next prime is 1073781083471. The reversal of 1073781083440 is 443801873701.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2437236 + ... + 2843884.

It is an arithmetic number, because the mean of its divisors is an integer number (33620602050).

Almost surely, 2^{1073781083440} is an apocalyptic number.

1073781083440 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 1073781083440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344824082000).

1073781083440 is an abundant number, since it is smaller than the sum of its proper divisors (1615867080560).

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

1073781083440 is a wasteful number, since it uses less digits than its factorization.

1073781083440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409214 (or 409208 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 1073781083440 in words is "one trillion, seventy-three billion, seven hundred eighty-one million, eighty-three thousand, four hundred forty".