40941634059225 has 81 divisors (see below), whose sum is σ = 73811863982493. Its totient is φ = 21693285267840.

The previous prime is 40941634059217. The next prime is 40941634059251. The reversal of 40941634059225 is 52295043614904.

The square root of 40941634059225 is 6398565.

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

40941634059225 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 1 + 6 + 3 + 40 + 592 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8964916257609 + 31976717801616 = 2994147^2 + 5654796^2 .

It is not a de Polignac number, because 40941634059225 - 2³ = 40941634059217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15644490117 + ... + 15644492733.

Almost surely, 2^{40941634059225} is an apocalyptic number.

40941634059225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40941634059225 is the 6398565-th square number.

40941634059225 is the 3199283-rd centered octagonal number.

It is an amenable number.

40941634059225 is a deficient number, since it is larger than the sum of its proper divisors (32870229923268).

40941634059225 is an frugal number, since it uses more digits than its factorization.

40941634059225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

It can be divided in two parts, 409416 and 34059225, that added together give a square (34468641 = 5871²).

The spelling of 40941634059225 in words is "forty trillion, nine hundred forty-one billion, six hundred thirty-four million, fifty-nine thousand, two hundred twenty-five".