1084400352000 has 2304 divisors, whose sum is σ = 4958972928000. Its totient is φ = 227731046400.

The previous prime is 1084400351999. The next prime is 1084400352029. The reversal of 1084400352000 is 2530044801.

1084400352000 is a `hidden beast` number, since 10 + 8 + 440 + 0 + 3 + 5 + 200 + 0 = 666.

1084400352000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5449247901 + ... + 5449248099.

It is an arithmetic number, because the mean of its divisors is an integer number (2152332000).

Almost surely, 2^{1084400352000} is an apocalyptic number.

1084400352000 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 1084400352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479486464000).

1084400352000 is an abundant number, since it is smaller than the sum of its proper divisors (3874572576000).

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

1084400352000 is a wasteful number, since it uses less digits than its factorization.

1084400352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1084400352000 its reverse (2530044801), we get a palindrome (1086930396801).

The spelling of 1084400352000 in words is "one trillion, eighty-four billion, four hundred million, three hundred fifty-two thousand".