10400340044020 has 24 divisors (see below), whose sum is σ = 22431003664104. Its totient is φ = 4047699908736.

The previous prime is 10400340044009. The next prime is 10400340044021. The reversal of 10400340044020 is 2044004300401.

It can be written as a sum of positive squares in 4 ways, for example, as 5900604541456 + 4499735502564 = 2429116^2 + 2121258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10400340043982 and 10400340044000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400340044021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7027256047 + ... + 7027257526.

It is an arithmetic number, because the mean of its divisors is an integer number (934625152671).

Almost surely, 2^{10400340044020} is an apocalyptic number.

10400340044020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400340044020 is an abundant number, since it is smaller than the sum of its proper divisors (12030663620084).

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

10400340044020 is a wasteful number, since it uses less digits than its factorization.

10400340044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14054513619 (or 14054513617 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10400340044020 its reverse (2044004300401), we get a palindrome (12444344344421).

The spelling of 10400340044020 in words is "ten trillion, four hundred billion, three hundred forty million, forty-four thousand, twenty".