1085301193440 has 96 divisors (see below), whose sum is σ = 3418886983680. Its totient is φ = 289397717504.

The previous prime is 1085301193439. The next prime is 1085301193451. The reversal of 1085301193440 is 443911035801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10546717 + ... + 10649123.

It is an arithmetic number, because the mean of its divisors is an integer number (35613406080).

Almost surely, 2^{1085301193440} is an apocalyptic number.

1085301193440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085301193440 is an abundant number, since it is smaller than the sum of its proper divisors (2333585790240).

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

1085301193440 is a wasteful number, since it uses less digits than its factorization.

1085301193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124504 (or 124496 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 1085301193440 in words is "one trillion, eighty-five billion, three hundred one million, one hundred ninety-three thousand, four hundred forty".