10801440 has 144 divisors (see below), whose sum is σ = 39764088. Its totient is φ = 2654208.

The previous prime is 10801429. The next prime is 10801459. The reversal of 10801440 is 4410801.

It can be written as a sum of positive squares in 4 ways, for example, as 9809424 + 992016 = 3132^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10801440² = 233342212147200, which 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 23 ways as a sum of consecutive naturals, for example, 18432 + ... + 19008.

Almost surely, 2^10801440 is an apocalyptic number.

10801440 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 10801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19882044).

10801440 is an abundant number, since it is smaller than the sum of its proper divisors (28962648).

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

10801440 is a wasteful number, since it uses less digits than its factorization.

10801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 600 counting only the distinct ones).

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

The square root of 10801440 is about 3286.5544267515. The cubic root of 10801440 is about 221.0517135658.

The spelling of 10801440 in words is "ten million, eight hundred one thousand, four hundred forty".