10441752076900 has 27 divisors (see below), whose sum is σ = 22658672127819. Its totient is φ = 4176687905280.

The previous prime is 10441752076883. The next prime is 10441752076913. The reversal of 10441752076900 is 967025714401.

The square root of 10441752076900 is 3231370.

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

10441752076900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1531718115876 + 8910033961024 = 1237626^2 + 2984968^2 .

It is a super-2 number, since 2×10441752076900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32152132 + ... + 32475268.

Almost surely, 2^{10441752076900} is an apocalyptic number.

10441752076900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10441752076900 is the 3231370-th square number.

It is an amenable number.

10441752076900 is an abundant number, since it is smaller than the sum of its proper divisors (12216920050919).

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

10441752076900 is an frugal number, since it uses more digits than its factorization.

10441752076900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646288 (or 323144 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 10441752076900 in words is "ten trillion, four hundred forty-one billion, seven hundred fifty-two million, seventy-six thousand, nine hundred".