41928705225 has 243 divisors, whose sum is σ = 88905786879. Its totient is φ = 18871142400.

The previous prime is 41928705173. The next prime is 41928705263. The reversal of 41928705225 is 52250782914.

The square root of 41928705225 is 204765.

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

41928705225 is a `hidden beast` number, since 41 + 9 + 2 + 87 + 0 + 522 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 11981710521 + 29946994704 = 109461^2 + 173052^2 .

It is not a de Polignac number, because 41928705225 - 2¹⁷ = 41928574153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 574365789 + ... + 574365861.

Almost surely, 2^41928705225 is an apocalyptic number.

41928705225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41928705225 is the 204765-th square number.

41928705225 is the 102383-rd centered octagonal number.

It is an amenable number.

41928705225 is an abundant number, since it is smaller than the sum of its proper divisors (46977081654).

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

41928705225 is a wasteful number, since it uses less digits than its factorization.

41928705225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 41928705225 in words is "forty-one billion, nine hundred twenty-eight million, seven hundred five thousand, two hundred twenty-five".