10801440000 has 540 divisors, whose sum is σ = 41982776836. Its totient is φ = 2654208000.

The previous prime is 10801439953. The next prime is 10801440029. The reversal of 10801440000 is 4410801.

It can be written as a sum of positive squares in 10 ways, for example, as 6768681984 + 4032758016 = 82272^2 + 63504^2 .

It is a super-2 number, since 2×10801440000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18719712 + ... + 18720288.

Almost surely, 2^10801440000 is an apocalyptic number.

10801440000 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 10801440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991388418).

10801440000 is an abundant number, since it is smaller than the sum of its proper divisors (31181336836).

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

10801440000 is an equidigital number, since it uses as much as digits as its factorization.

10801440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10801440000 its reverse (4410801), we get a palindrome (10805850801).

The spelling of 10801440000 in words is "ten billion, eight hundred one million, four hundred forty thousand".