1083411198240 has 192 divisors, whose sum is σ = 3905335316736. Its totient is φ = 247315894272.

The previous prime is 1083411198203. The next prime is 1083411198263. The reversal of 1083411198240 is 428911143801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1083411198192 and 1083411198201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2388714 + ... + 2805846.

It is an arithmetic number, because the mean of its divisors is an integer number (20340288108).

Almost surely, 2^{1083411198240} is an apocalyptic number.

1083411198240 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 1083411198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952667658368).

1083411198240 is an abundant number, since it is smaller than the sum of its proper divisors (2821924118496).

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

1083411198240 is a wasteful number, since it uses less digits than its factorization.

1083411198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417931 (or 417923 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 1083411198240 in words is "one trillion, eighty-three billion, four hundred eleven million, one hundred ninety-eight thousand, two hundred forty".