10009400777 has 16 divisors (see below), whose sum is σ = 10671856272. Its totient is φ = 9355315200.

The previous prime is 10009400771. The next prime is 10009400827. The reversal of 10009400777 is 77700490001.

10009400777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4469724736 + 5539676041 = 66856^2 + 74429^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009400777 - 2¹⁴ = 10009384393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10009400771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010263 + ... + 2015235.

It is an arithmetic number, because the mean of its divisors is an integer number (666991017).

Almost surely, 2^10009400777 is an apocalyptic number.

10009400777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10009400777 is a deficient number, since it is larger than the sum of its proper divisors (662455495).

10009400777 is a wasteful number, since it uses less digits than its factorization.

10009400777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788.

The product of its (nonzero) digits is 12348, while the sum is 35.

Adding to 10009400777 its reverse (77700490001), we get a palindrome (87709890778).

The spelling of 10009400777 in words is "ten billion, nine million, four hundred thousand, seven hundred seventy-seven".