1090255693840 has 40 divisors (see below), whose sum is σ = 2534977405080. Its totient is φ = 436079410176.

The previous prime is 1090255693817. The next prime is 1090255693847. The reversal of 1090255693840 is 483965520901.

It can be written as a sum of positive squares in 4 ways, for example, as 431113054464 + 659142639376 = 656592^2 + 811876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1090255693847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221222 + ... + 1916218.

It is an arithmetic number, because the mean of its divisors is an integer number (63374435127).

Almost surely, 2^{1090255693840} is an apocalyptic number.

1090255693840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1090255693840 is an abundant number, since it is smaller than the sum of its proper divisors (1444721711240).

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

1090255693840 is a wasteful number, since it uses less digits than its factorization.

1090255693840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714619 (or 714613 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 1090255693840 in words is "one trillion, ninety billion, two hundred fifty-five million, six hundred ninety-three thousand, eight hundred forty".