40974734124801 has 45 divisors (see below), whose sum is σ = 62065508839059. Its totient is φ = 26939525634144.

The previous prime is 40974734124773. The next prime is 40974734124823. The reversal of 40974734124801 is 10842143747904.

The square root of 40974734124801 is 6401151.

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

40974734124801 is a `hidden beast` number, since 4 + 0 + 97 + 4 + 73 + 4 + 1 + 2 + 480 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23259255156225 + 17715478968576 = 4822785^2 + 4208976^2 .

It is not a de Polignac number, because 40974734124801 - 2¹⁷ = 40974733993729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40974734124851) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 4205551336 + ... + 4205561078.

Almost surely, 2^{40974734124801} is an apocalyptic number.

40974734124801 is the 6401151-st square number.

40974734124801 is the 3200576-th centered octagonal number.

It is an amenable number.

40974734124801 is a deficient number, since it is larger than the sum of its proper divisors (21090774714258).

40974734124801 is an frugal number, since it uses more digits than its factorization.

40974734124801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19644 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 40974734124801 in words is "forty trillion, nine hundred seventy-four billion, seven hundred thirty-four million, one hundred twenty-four thousand, eight hundred one".