40451265625 has 21 divisors (see below), whose sum is σ = 50594879721. Its totient is φ = 32340900000.

The previous prime is 40451265619. The next prime is 40451265643. The reversal of 40451265625 is 52656215404.

It is a happy number.

The square root of 40451265625 is 201125.

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 38693643849 + 1757621776 = 196707^2 + 41924^2 .

It is not a de Polignac number, because 40451265625 - 2¹³ = 40451257433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 25139821 + ... + 25141429.

Almost surely, 2^40451265625 is an apocalyptic number.

40451265625 is the 201125-th square number.

40451265625 is the 100563-rd centered octagonal number.

It is an amenable number.

40451265625 is a deficient number, since it is larger than the sum of its proper divisors (10143614096).

40451265625 is an frugal number, since it uses more digits than its factorization.

40451265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 40451265625 in words is "forty billion, four hundred fifty-one million, two hundred sixty-five thousand, six hundred twenty-five".