1120353282400 has 144 divisors (see below), whose sum is σ = 2984696935920. Its totient is φ = 407265689600.

The previous prime is 1120353282361. The next prime is 1120353282421. The reversal of 1120353282400 is 42823530211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28642056 + ... + 28681144.

It is an arithmetic number, because the mean of its divisors is an integer number (20727062055).

Almost surely, 2^{1120353282400} is an apocalyptic number.

1120353282400 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 1120353282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492348467960).

1120353282400 is an abundant number, since it is smaller than the sum of its proper divisors (1864343653520).

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

1120353282400 is a wasteful number, since it uses less digits than its factorization.

1120353282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42377 (or 42364 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 1120353282400 in words is "one trillion, one hundred twenty billion, three hundred fifty-three million, two hundred eighty-two thousand, four hundred".