400377400417 has 2 divisors, whose sum is σ = 400377400418. Its totient is φ = 400377400416.

The previous prime is 400377400399. The next prime is 400377400429. The reversal of 400377400417 is 714004773004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363999848976 + 36377551441 = 603324^2 + 190729^2 .

It is a cyclic number.

It is not a de Polignac number, because 400377400417 - 2¹⁹ = 400376876129 is a prime.

It is a super-3 number, since 3×400377400417³ (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (400377400457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200188700208 + 200188700209.

It is an arithmetic number, because the mean of its divisors is an integer number (200188700209).

Almost surely, 2^400377400417 is an apocalyptic number.

It is an amenable number.

400377400417 is a deficient number, since it is larger than the sum of its proper divisors (1).

400377400417 is an equidigital number, since it uses as much as digits as its factorization.

400377400417 is an evil number, because the sum of its binary digits is even.

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

The spelling of 400377400417 in words is "four hundred billion, three hundred seventy-seven million, four hundred thousand, four hundred seventeen".