10001440 has 48 divisors (see below), whose sum is σ = 25025112. Its totient is φ = 3764224.

The previous prime is 10001419. The next prime is 10001441. The reversal of 10001440 is 4410001.

It can be written as a sum of positive squares in 4 ways, for example, as 9759376 + 242064 = 3124^2 + 492^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10001441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882 + ... + 4558.

Almost surely, 2^10001440 is an apocalyptic number.

10001440 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 10001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12512556).

10001440 is an abundant number, since it is smaller than the sum of its proper divisors (15023672).

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

10001440 is a wasteful number, since it uses less digits than its factorization.

10001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10001440 is about 3162.5053359639. The cubic root of 10001440 is about 215.4538097934.

Adding to 10001440 its reverse (4410001), we get a palindrome (14411441).

It can be divided in two parts, 1000 and 1440, that multiplied together give a square (1440000 = 1200²).

The spelling of 10001440 in words is "ten million, one thousand, four hundred forty".