10383126848640 has 1536 divisors, whose sum is σ = 45222545571840. Its totient is φ = 2137009029120.

The previous prime is 10383126848629. The next prime is 10383126848657. The reversal of 10383126848640 is 4684862138301.

It is a happy number.

10383126848640 is a `hidden beast` number, since 1 + 0 + 38 + 3 + 126 + 8 + 486 + 4 + 0 = 666.

It is a super-3 number, since 3×10383126848640³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4060666242 + ... + 4060668798.

It is an arithmetic number, because the mean of its divisors is an integer number (29441761440).

Almost surely, 2^{10383126848640} is an apocalyptic number.

10383126848640 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 10383126848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22611272785920).

10383126848640 is an abundant number, since it is smaller than the sum of its proper divisors (34839418723200).

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

10383126848640 is a wasteful number, since it uses less digits than its factorization.

10383126848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 10383126848640 in words is "ten trillion, three hundred eighty-three billion, one hundred twenty-six million, eight hundred forty-eight thousand, six hundred forty".