10395440640 has 640 divisors, whose sum is σ = 41577338880. Its totient is φ = 2442756096.

The previous prime is 10395440609. The next prime is 10395440669. The reversal of 10395440640 is 4604459301.

10395440640 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10395440595 and 10395440604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20666629 + ... + 20667131.

It is an arithmetic number, because the mean of its divisors is an integer number (64964592).

Almost surely, 2^10395440640 is an apocalyptic number.

10395440640 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 10395440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788669440).

10395440640 is an abundant number, since it is smaller than the sum of its proper divisors (31181898240).

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

10395440640 is a wasteful number, since it uses less digits than its factorization.

10395440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10395440640 its reverse (4604459301), we get a palindrome (14999899941).

The spelling of 10395440640 in words is "ten billion, three hundred ninety-five million, four hundred forty thousand, six hundred forty".