10041927210000 has 1125 divisors, whose sum is σ = 42332428966971. Its totient is φ = 2290734432000.

The previous prime is 10041927209929. The next prime is 10041927210043. The reversal of 10041927210000 is 1272914001.

The square root of 10041927210000 is 3168900.

It is a perfect power (a square), and thus also a powerful number.

10041927210000 is a `hidden beast` number, since 10 + 0 + 419 + 27 + 210 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 787287093264 + 9254640116736 = 887292^2 + 3042144^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 19964069749 + ... + 19964070251.

Almost surely, 2^{10041927210000} is an apocalyptic number.

10041927210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10041927210000 is the 3168900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041927210000

10041927210000 is an abundant number, since it is smaller than the sum of its proper divisors (32290501756971).

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

10041927210000 is an frugal number, since it uses more digits than its factorization.

10041927210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10041927210000 in words is "ten trillion, forty-one billion, nine hundred twenty-seven million, two hundred ten thousand".