400024013021377 has 2 divisors, whose sum is σ = 400024013021378. Its totient is φ = 400024013021376.

The previous prime is 400024013021309. The next prime is 400024013021407. The reversal of 400024013021377 is 773120310420004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318906592497936 + 81117420523441 = 17857956^2 + 9006521^2 .

It is a cyclic number.

It is not a de Polignac number, because 400024013021377 - 2¹¹ = 400024013019329 is a prime.

It is a super-2 number, since 2×400024013021377² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400024013022377) 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, 200012006510688 + 200012006510689.

It is an arithmetic number, because the mean of its divisors is an integer number (200012006510689).

Almost surely, 2^{400024013021377} is an apocalyptic number.

It is an amenable number.

400024013021377 is a deficient number, since it is larger than the sum of its proper divisors (1).

400024013021377 is an equidigital number, since it uses as much as digits as its factorization.

400024013021377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 400024013021377 in words is "four hundred trillion, twenty-four billion, thirteen million, twenty-one thousand, three hundred seventy-seven".