4141265700100 has 81 divisors (see below), whose sum is σ = 9041147427837. Its totient is φ = 1646502170880.

The previous prime is 4141265700067. The next prime is 4141265700127. The reversal of 4141265700100 is 10075621414.

The square root of 4141265700100 is 2035010.

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

It can be written as a sum of positive squares in 13 ways, for example, as 394904155396 + 3746361544704 = 628414^2 + 1935552^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4008969184 + ... + 4008970216.

Almost surely, 2^{4141265700100} is an apocalyptic number.

4141265700100 is the 2035010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141265700100

4141265700100 is an abundant number, since it is smaller than the sum of its proper divisors (4899881727737).

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

4141265700100 is an equidigital number, since it uses as much as digits as its factorization.

4141265700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 4141265700100 in words is "four trillion, one hundred forty-one billion, two hundred sixty-five million, seven hundred thousand, one hundred".