10000341400 has 144 divisors (see below), whose sum is σ = 27391327200. Its totient is φ = 3385025280.

The previous prime is 10000341361. The next prime is 10000341427. The reversal of 10000341400 is 414300001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 767742 + ... + 780658.

It is an arithmetic number, because the mean of its divisors is an integer number (190217550).

Almost surely, 2^10000341400 is an apocalyptic number.

10000341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13695663600).

10000341400 is an abundant number, since it is smaller than the sum of its proper divisors (17390985800).

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

10000341400 is a wasteful number, since it uses less digits than its factorization.

10000341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10000341400 its reverse (414300001), we get a palindrome (10414641401).

The spelling of 10000341400 in words is "ten billion, three hundred forty-one thousand, four hundred".