10401405464677 has 2 divisors, whose sum is σ = 10401405464678. Its totient is φ = 10401405464676.

The previous prime is 10401405464629. The next prime is 10401405464693. The reversal of 10401405464677 is 77646450410401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10401405464641 + 36 = 3225121^2 + 6^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10401405464677 is a prime.

It is a super-2 number, since 2×10401405464677² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10401405464677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401405464617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200702732338 + 5200702732339.

It is an arithmetic number, because the mean of its divisors is an integer number (5200702732339).

Almost surely, 2^{10401405464677} is an apocalyptic number.

It is an amenable number.

10401405464677 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401405464677 is an equidigital number, since it uses as much as digits as its factorization.

10401405464677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 10401405464677 in words is "ten trillion, four hundred one billion, four hundred five million, four hundred sixty-four thousand, six hundred seventy-seven".