10244201040 has 120 divisors (see below), whose sum is σ = 34758353448. Its totient is φ = 2703605760.

The previous prime is 10244201029. The next prime is 10244201117. The reversal of 10244201040 is 4010244201.

It can be written as a sum of positive squares in 4 ways, for example, as 1417974336 + 8826226704 = 37656^2 + 93948^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3501 + ... + 143180.

Almost surely, 2^10244201040 is an apocalyptic number.

10244201040 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 10244201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379176724).

10244201040 is an abundant number, since it is smaller than the sum of its proper divisors (24514152408).

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

10244201040 is a wasteful number, since it uses less digits than its factorization.

10244201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146797 (or 146788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10244201040 its reverse (4010244201), we get a palindrome (14254445241).

The spelling of 10244201040 in words is "ten billion, two hundred forty-four million, two hundred one thousand, forty".