1083400982400 has 768 divisors, whose sum is σ = 3962555665920. Its totient is φ = 257986560000.

The previous prime is 1083400982387. The next prime is 1083400982467. The reversal of 1083400982400 is 42890043801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1674498877 + ... + 1674499523.

It is an arithmetic number, because the mean of its divisors is an integer number (5159577690).

Almost surely, 2^{1083400982400} is an apocalyptic number.

1083400982400 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 1083400982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981277832960).

1083400982400 is an abundant number, since it is smaller than the sum of its proper divisors (2879154683520).

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

1083400982400 is a wasteful number, since it uses less digits than its factorization.

1083400982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1083400982400 in words is "one trillion, eighty-three billion, four hundred million, nine hundred eighty-two thousand, four hundred".