40357957628761 has 2 divisors, whose sum is σ = 40357957628762. Its totient is φ = 40357957628760.

The previous prime is 40357957628753. The next prime is 40357957628819. The reversal of 40357957628761 is 16782675975304.

40357957628761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37551893761600 + 2806063867161 = 6127960^2 + 1675131^2 .

It is a cyclic number.

It is not a de Polignac number, because 40357957628761 - 2³ = 40357957628753 is a prime.

It is not a weakly prime, because it can be changed into another prime (40357957628701) 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 as a sum of consecutive naturals, namely, 20178978814380 + 20178978814381.

It is an arithmetic number, because the mean of its divisors is an integer number (20178978814381).

It is a 1-persistent number, because it is pandigital, but 2⋅40357957628761 = 80715915257522 is not.

Almost surely, 2^{40357957628761} is an apocalyptic number.

It is an amenable number.

40357957628761 is a deficient number, since it is larger than the sum of its proper divisors (1).

40357957628761 is an equidigital number, since it uses as much as digits as its factorization.

40357957628761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 533433600, while the sum is 70.

The spelling of 40357957628761 in words is "forty trillion, three hundred fifty-seven billion, nine hundred fifty-seven million, six hundred twenty-eight thousand, seven hundred sixty-one".