10321395840 has 768 divisors, whose sum is σ = 44553600000. Its totient is φ = 2230530048.

The previous prime is 10321395817. The next prime is 10321395841. The reversal of 10321395840 is 4859312301.

10321395840 is a `hidden beast` number, since 10 + 32 + 1 + 39 + 584 + 0 = 666.

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 = 10321395795 and 10321395804.

It is not an unprimeable number, because it can be changed into a prime (10321395841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20683911 + ... + 20684409.

It is an arithmetic number, because the mean of its divisors is an integer number (58012500).

Almost surely, 2^10321395840 is an apocalyptic number.

10321395840 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 10321395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800000).

10321395840 is an abundant number, since it is smaller than the sum of its proper divisors (34232204160).

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

10321395840 is an equidigital number, since it uses as much as digits as its factorization.

10321395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10321395840 in words is "ten billion, three hundred twenty-one million, three hundred ninety-five thousand, eight hundred forty".