10803428803440 has 800 divisors, whose sum is σ = 46204038752256. Its totient is φ = 2278258513920.

The previous prime is 10803428803421. The next prime is 10803428803499. The reversal of 10803428803440 is 4430882430801.

It is a happy number.

10803428803440 is a `hidden beast` number, since 1 + 0 + 80 + 3 + 428 + 80 + 34 + 40 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1711837885 + ... + 1711844195.

Almost surely, 2^{10803428803440} is an apocalyptic number.

10803428803440 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 10803428803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23102019376128).

10803428803440 is an abundant number, since it is smaller than the sum of its proper divisors (35400609948816).

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

10803428803440 is a wasteful number, since it uses less digits than its factorization.

10803428803440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9259 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 10803428803440 in words is "ten trillion, eight hundred three billion, four hundred twenty-eight million, eight hundred three thousand, four hundred forty".