40677354337 has 2 divisors, whose sum is σ = 40677354338. Its totient is φ = 40677354336.

The previous prime is 40677354259. The next prime is 40677354349. The reversal of 40677354337 is 73345377604.

40677354337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37561928481 + 3115425856 = 193809^2 + 55816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40677354337 is a prime.

It is not a weakly prime, because it can be changed into another prime (40677354737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20338677168 + 20338677169.

It is an arithmetic number, because the mean of its divisors is an integer number (20338677169).

Almost surely, 2^40677354337 is an apocalyptic number.

It is an amenable number.

40677354337 is a deficient number, since it is larger than the sum of its proper divisors (1).

40677354337 is an equidigital number, since it uses as much as digits as its factorization.

40677354337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4445280, while the sum is 49.

The spelling of 40677354337 in words is "forty billion, six hundred seventy-seven million, three hundred fifty-four thousand, three hundred thirty-seven".