10803205440 has 224 divisors, whose sum is σ = 40117776000. Its totient is φ = 2729189376.

The previous prime is 10803205429. The next prime is 10803205447. The reversal of 10803205440 is 4450230801.

10803205440 is a `hidden beast` number, since 10 + 8 + 0 + 3 + 205 + 440 = 666.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10803205447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131256 + ... + 197064.

Almost surely, 2^10803205440 is an apocalyptic number.

10803205440 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 10803205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058888000).

10803205440 is an abundant number, since it is smaller than the sum of its proper divisors (29314570560).

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

10803205440 is a wasteful number, since it uses less digits than its factorization.

10803205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65854 (or 65838 counting only the distinct ones).

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

The spelling of 10803205440 in words is "ten billion, eight hundred three million, two hundred five thousand, four hundred forty".