10244001440 has 96 divisors (see below), whose sum is σ = 25852614480. Its totient is φ = 3822321664.

The previous prime is 10244001431. The next prime is 10244001461. The reversal of 10244001440 is 4410044201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3652510096 + 6591491344 = 60436^2 + 81188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290696 + ... + 324024.

Almost surely, 2^10244001440 is an apocalyptic number.

10244001440 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 10244001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926307240).

10244001440 is an abundant number, since it is smaller than the sum of its proper divisors (15608613040).

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

10244001440 is a wasteful number, since it uses less digits than its factorization.

10244001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33474 (or 33466 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10244001440 its reverse (4410044201), we get a palindrome (14654045641).

The spelling of 10244001440 in words is "ten billion, two hundred forty-four million, one thousand, four hundred forty".