10041182976384 has 256 divisors, whose sum is σ = 34218243225600. Its totient is φ = 2839332372480.

The previous prime is 10041182976347. The next prime is 10041182976413. The reversal of 10041182976384 is 48367928114001.

10041182976384 is a `hidden beast` number, since 1 + 0 + 0 + 411 + 8 + 2 + 97 + 63 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10041182976384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207129 + ... + 4486119.

It is an arithmetic number, because the mean of its divisors is an integer number (133665012600).

Almost surely, 2^{10041182976384} is an apocalyptic number.

10041182976384 is a gapful number since it is divisible by the number (14) 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 10041182976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17109121612800).

10041182976384 is an abundant number, since it is smaller than the sum of its proper divisors (24177060249216).

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

10041182976384 is an equidigital number, since it uses as much as digits as its factorization.

10041182976384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279118 (or 4279100 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10041182976384 in words is "ten trillion, forty-one billion, one hundred eighty-two million, nine hundred seventy-six thousand, three hundred eighty-four".