10331305040 has 120 divisors (see below), whose sum is σ = 28007473032. Its totient is φ = 3533859840.

The previous prime is 10331304989. The next prime is 10331305051. The reversal of 10331305040 is 4050313301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 743761984 + 9587543056 = 27272^2 + 97916^2 .

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

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, 1804262 + ... + 1809978.

Almost surely, 2^10331305040 is an apocalyptic number.

10331305040 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 10331305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003736516).

10331305040 is an abundant number, since it is smaller than the sum of its proper divisors (17676167992).

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

10331305040 is a wasteful number, since it uses less digits than its factorization.

10331305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10331305040 its reverse (4050313301), we get a palindrome (14381618341).

The spelling of 10331305040 in words is "ten billion, three hundred thirty-one million, three hundred five thousand, forty".