1098909743040 has 336 divisors, whose sum is σ = 3948201294336. Its totient is φ = 280012339200.

The previous prime is 1098909743023. The next prime is 1098909743069. The reversal of 1098909743040 is 403479098901.

1098909743040 is a `hidden beast` number, since 1 + 0 + 9 + 89 + 0 + 97 + 430 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68285395 + ... + 68301485.

Almost surely, 2^{1098909743040} is an apocalyptic number.

1098909743040 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 1098909743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974100647168).

1098909743040 is an abundant number, since it is smaller than the sum of its proper divisors (2849291551296).

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

1098909743040 is a wasteful number, since it uses less digits than its factorization.

1098909743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168 (or 17155 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1098909743040 in words is "one trillion, ninety-eight billion, nine hundred nine million, seven hundred forty-three thousand, forty".