10400434342330 has 16 divisors (see below), whose sum is σ = 18720925217064. Its totient is φ = 4160141870080.

The previous prime is 10400434342321. The next prime is 10400434342351. The reversal of 10400434342330 is 3324343400401.

10400434342330 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 4 ways, for example, as 10213757634609 + 186676707721 = 3195897^2 + 432061^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10400434342292 and 10400434342301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2589367 + ... + 5244586.

Almost surely, 2^{10400434342330} is an apocalyptic number.

10400434342330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400434342330 is a deficient number, since it is larger than the sum of its proper divisors (8320490874734).

10400434342330 is a wasteful number, since it uses less digits than its factorization.

10400434342330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966721.

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 10400434342330 its reverse (3324343400401), we get a palindrome (13724777742731).

The spelling of 10400434342330 in words is "ten trillion, four hundred billion, four hundred thirty-four million, three hundred forty-two thousand, three hundred thirty".