10400200340 has 12 divisors (see below), whose sum is σ = 21840420756. Its totient is φ = 4160080128.

The previous prime is 10400200331. The next prime is 10400200379. The reversal of 10400200340 is 4300200401.

It can be written as a sum of positive squares in 2 ways, for example, as 7239287056 + 3160913284 = 85084^2 + 56222^2 .

It is a super-2 number, since 2×10400200340² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 260004989 + ... + 260005028.

It is an arithmetic number, because the mean of its divisors is an integer number (1820035063).

Almost surely, 2^10400200340 is an apocalyptic number.

10400200340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400200340 is an abundant number, since it is smaller than the sum of its proper divisors (11440220416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10400200340 is a wasteful number, since it uses less digits than its factorization.

10400200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520010026 (or 520010024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10400200340 its reverse (4300200401), we get a palindrome (14700400741).

The spelling of 10400200340 in words is "ten billion, four hundred million, two hundred thousand, three hundred forty".