400310555401 has 9 divisors (see below), whose sum is σ = 404915922901. Its totient is φ = 395757006304.

The previous prime is 400310555399. The next prime is 400310555429. The reversal of 400310555401 is 104555013004.

The square root of 400310555401 is 632701.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 177620945401 + 222689610000 = 421451^2 + 471900^2 .

It is not a de Polignac number, because 400310555401 - 2¹ = 400310555399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400310555401.

It is not an unprimeable number, because it can be changed into a prime (400310555101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56306835 + ... + 56313943.

Almost surely, 2^400310555401 is an apocalyptic number.

400310555401 is the 632701-st square number.

400310555401 is the 316351-st centered octagonal number.

It is an amenable number.

400310555401 is a deficient number, since it is larger than the sum of its proper divisors (4605367500).

400310555401 is an frugal number, since it uses more digits than its factorization.

400310555401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14396 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 400310555401 its reverse (104555013004), we get a palindrome (504865568405).

The spelling of 400310555401 in words is "four hundred billion, three hundred ten million, five hundred fifty-five thousand, four hundred one".