10383231680640 has 4480 divisors, whose sum is σ = 50363274286080. Its totient is φ = 2027901173760.

The previous prime is 10383231680629. The next prime is 10383231680747. The reversal of 10383231680640 is 4608613238301.

10383231680640 is a `hidden beast` number, since 103 + 8 + 323 + 168 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-4 number, since 4×10383231680640⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 334942957425 + ... + 334942957455.

It is an arithmetic number, because the mean of its divisors is an integer number (11241802296).

Almost surely, 2^{10383231680640} is an apocalyptic number.

10383231680640 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 10383231680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181637143040).

10383231680640 is an abundant number, since it is smaller than the sum of its proper divisors (39980042605440).

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

10383231680640 is an frugal number, since it uses more digits than its factorization.

10383231680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10383231680640 in words is "ten trillion, three hundred eighty-three billion, two hundred thirty-one million, six hundred eighty thousand, six hundred forty".