40977602711001 has 192 divisors, whose sum is σ = 68661332213760. Its totient is φ = 23323881208320.

The previous prime is 40977602710987. The next prime is 40977602711027. The reversal of 40977602711001 is 10011720677904.

40977602711001 is a `hidden beast` number, since 409 + 7 + 76 + 0 + 2 + 71 + 100 + 1 = 666.

40977602711001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40977602711001 - 2⁵ = 40977602710969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40977602711501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5260954215 + ... + 5260962003.

It is an arithmetic number, because the mean of its divisors is an integer number (357611105280).

Almost surely, 2^{40977602711001} is an apocalyptic number.

It is an amenable number.

40977602711001 is a deficient number, since it is larger than the sum of its proper divisors (27683729502759).

40977602711001 is a wasteful number, since it uses less digits than its factorization.

40977602711001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 40977602711001 in words is "forty trillion, nine hundred seventy-seven billion, six hundred two million, seven hundred eleven thousand, one".