1098109232640 has 1280 divisors, whose sum is σ = 4702481879040. Its totient is φ = 237463142400.

The previous prime is 1098109232621. The next prime is 1098109232659. The reversal of 1098109232640 is 462329018901.

It is an interprime number because it is at equal distance from previous prime (1098109232621) and next prime (1098109232659).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1123959832 + ... + 1123960808.

It is an arithmetic number, because the mean of its divisors is an integer number (3673813968).

Almost surely, 2^{1098109232640} is an apocalyptic number.

1098109232640 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 1098109232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351240939520).

1098109232640 is an abundant number, since it is smaller than the sum of its proper divisors (3604372646400).

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

1098109232640 is a wasteful number, since it uses less digits than its factorization.

1098109232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1098109232640 in words is "one trillion, ninety-eight billion, one hundred nine million, two hundred thirty-two thousand, six hundred forty".