400126644100105 has 16 divisors (see below), whose sum is σ = 518079229056144. Its totient is φ = 294911000616960.

The previous prime is 400126644100049. The next prime is 400126644100133. The reversal of 400126644100105 is 501001446621004.

It can be written as a sum of positive squares in 8 ways, for example, as 166023302310009 + 234103341790096 = 12885003^2 + 15300436^2 .

It is not a de Polignac number, because 400126644100105 - 2⁴³ = 391330551077897 is a prime.

It is a super-2 number, since 2×400126644100105² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5907638424 + ... + 5907706153.

It is an arithmetic number, because the mean of its divisors is an integer number (32379951816009).

Almost surely, 2^{400126644100105} is an apocalyptic number.

It is an amenable number.

400126644100105 is a deficient number, since it is larger than the sum of its proper divisors (117952584956039).

400126644100105 is a wasteful number, since it uses less digits than its factorization.

400126644100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11815345116.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 400126644100105 in words is "four hundred trillion, one hundred twenty-six billion, six hundred forty-four million, one hundred thousand, one hundred five".