1098139170240 has 448 divisors, whose sum is σ = 4462311014400. Its totient is φ = 249025093632.

The previous prime is 1098139170239. The next prime is 1098139170251. The reversal of 1098139170240 is 420719318901.

1098139170240 is a `hidden beast` number, since 10 + 9 + 8 + 1 + 391 + 7 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7609476 + ... + 7752444.

Almost surely, 2^{1098139170240} is an apocalyptic number.

1098139170240 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 1098139170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231155507200).

1098139170240 is an abundant number, since it is smaller than the sum of its proper divisors (3364171844160).

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

1098139170240 is a wasteful number, since it uses less digits than its factorization.

1098139170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143129 (or 143113 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1098139170240 in words is "one trillion, ninety-eight billion, one hundred thirty-nine million, one hundred seventy thousand, two hundred forty".