10000340400020 has 48 divisors (see below), whose sum is σ = 21016770138000. Its totient is φ = 3997079070720.

The previous prime is 10000340399971. The next prime is 10000340400049. The reversal of 10000340400020 is 2000404300001.

It can be written as a sum of positive squares in 8 ways, for example, as 970696336 + 9999369703684 = 31156^2 + 3162178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000340399968 and 10000340400004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166063676 + ... + 166123884.

It is an arithmetic number, because the mean of its divisors is an integer number (437849377875).

Almost surely, 2^{10000340400020} is an apocalyptic number.

10000340400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000340400020 is an abundant number, since it is smaller than the sum of its proper divisors (11016429737980).

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

10000340400020 is a wasteful number, since it uses less digits than its factorization.

10000340400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66428 (or 66426 counting only the distinct ones).

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

Adding to 10000340400020 its reverse (2000404300001), we get a palindrome (12000744700021).

The spelling of 10000340400020 in words is "ten trillion, three hundred forty million, four hundred thousand, twenty".