41973765625 has 63 divisors (see below), whose sum is σ = 58059471673. Its totient is φ = 30321500000.

The previous prime is 41973765607. The next prime is 41973765653. The reversal of 41973765625 is 52656737914.

It is a happy number.

The square root of 41973765625 is 204875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 17794759609 + 24179006016 = 133397^2 + 155496^2 .

It is not a de Polignac number, because 41973765625 - 2¹⁷ = 41973634553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

Its product of digits (9525600) is a multiple of the sum of its prime factors (350).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 281703051 + ... + 281703199.

Almost surely, 2^41973765625 is an apocalyptic number.

41973765625 is the 204875-th square number.

41973765625 is the 102438-th centered octagonal number.

It is an amenable number.

41973765625 is a deficient number, since it is larger than the sum of its proper divisors (16085706048).

41973765625 is an frugal number, since it uses more digits than its factorization.

41973765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 165 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 55.

The spelling of 41973765625 in words is "forty-one billion, nine hundred seventy-three million, seven hundred sixty-five thousand, six hundred twenty-five".