1095781789440 has 1728 divisors, whose sum is σ = 4724799206400. Its totient is φ = 240216440832.

The previous prime is 1095781789439. The next prime is 1095781789471. The reversal of 1095781789440 is 449871875901.

1095781789440 is a `hidden beast` number, since 1 + 0 + 9 + 578 + 17 + 8 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1306056541 + ... + 1306057379.

It is an arithmetic number, because the mean of its divisors is an integer number (2734258800).

Almost surely, 2^{1095781789440} is an apocalyptic number.

1095781789440 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 1095781789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362399603200).

1095781789440 is an abundant number, since it is smaller than the sum of its proper divisors (3629017416960).

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

1095781789440 is a wasteful number, since it uses less digits than its factorization.

1095781789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 1095781789440 in words is "one trillion, ninety-five billion, seven hundred eighty-one million, seven hundred eighty-nine thousand, four hundred forty".