10403104340000 has 120 divisors (see below), whose sum is σ = 25599496060908. Its totient is φ = 4160217600000.

The previous prime is 10403104339997. The next prime is 10403104340017. The reversal of 10403104340000 is 4340130401.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 6369546249616 + 4033558090384 = 2523796^2 + 2008372^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83958092 + ... + 84081908.

Almost surely, 2^{10403104340000} is an apocalyptic number.

10403104340000 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 10403104340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799748030454).

10403104340000 is an abundant number, since it is smaller than the sum of its proper divisors (15196391720908).

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

10403104340000 is an equidigital number, since it uses as much as digits as its factorization.

10403104340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128048 (or 128025 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10403104340000 its reverse (4340130401), we get a palindrome (10407444470401).

The spelling of 10403104340000 in words is "ten trillion, four hundred three billion, one hundred four million, three hundred forty thousand".