40777344001 has 2 divisors, whose sum is σ = 40777344002. Its totient is φ = 40777344000.

The previous prime is 40777343941. The next prime is 40777344007. The reversal of 40777344001 is 10044377704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40118087025 + 659256976 = 200295^2 + 25676^2 .

It is a cyclic number.

It is not a de Polignac number, because 40777344001 - 2¹⁵ = 40777311233 is a prime.

It is not a weakly prime, because it can be changed into another prime (40777344007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20388672000 + 20388672001.

It is an arithmetic number, because the mean of its divisors is an integer number (20388672001).

Almost surely, 2^40777344001 is an apocalyptic number.

It is an amenable number.

40777344001 is a deficient number, since it is larger than the sum of its proper divisors (1).

40777344001 is an equidigital number, since it uses as much as digits as its factorization.

40777344001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65856, while the sum is 37.

The spelling of 40777344001 in words is "forty billion, seven hundred seventy-seven million, three hundred forty-four thousand, one".