10340440400 has 60 divisors (see below), whose sum is σ = 26304272892. Its totient is φ = 3892869120.

The previous prime is 10340440391. The next prime is 10340440403. The reversal of 10340440400 is 404404301.

It can be written as a sum of positive squares in 6 ways, for example, as 481539136 + 9858901264 = 21944^2 + 99292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340440403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753527 + ... + 767126.

Almost surely, 2^10340440400 is an apocalyptic number.

10340440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340440400 is an abundant number, since it is smaller than the sum of its proper divisors (15963832492).

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

10340440400 is a wasteful number, since it uses less digits than its factorization.

10340440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520688 (or 1520677 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10340440400 its reverse (404404301), we get a palindrome (10744844701).

The spelling of 10340440400 in words is "ten billion, three hundred forty million, four hundred forty thousand, four hundred".