10000340431000 has 128 divisors (see below), whose sum is σ = 23468961821760. Its totient is φ = 3988497024000.

The previous prime is 10000340430947. The next prime is 10000340431027. The reversal of 10000340431000 is 13404300001.

It is a super-2 number, since 2×10000340431000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699659854 + ... + 699674146.

Almost surely, 2^{10000340431000} is an apocalyptic number.

10000340431000 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 10000340431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734480910880).

10000340431000 is an abundant number, since it is smaller than the sum of its proper divisors (13468621390760).

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

10000340431000 is a wasteful number, since it uses less digits than its factorization.

10000340431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16302 (or 16288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10000340431000 its reverse (13404300001), we get a palindrome (10013744731001).

The spelling of 10000340431000 in words is "ten trillion, three hundred forty million, four hundred thirty-one thousand".