10800834240 has 448 divisors, whose sum is σ = 42691507200. Its totient is φ = 2257403904.

The previous prime is 10800834229. The next prime is 10800834241. The reversal of 10800834240 is 4243800801.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10800834198 and 10800834207.

It is not an unprimeable number, because it can be changed into a prime (10800834241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3701262 + ... + 3704178.

Almost surely, 2^10800834240 is an apocalyptic number.

10800834240 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 10800834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345753600).

10800834240 is an abundant number, since it is smaller than the sum of its proper divisors (31890672960).

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

10800834240 is a wasteful number, since it uses less digits than its factorization.

10800834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 10800834240 in words is "ten billion, eight hundred million, eight hundred thirty-four thousand, two hundred forty".