10004000000000 has 480 divisors, whose sum is σ = 26033639912280. Its totient is φ = 3840000000000.

The previous prime is 10003999999999. The next prime is 10004000000009. The reversal of 10004000000000 is 40001.

It can be written as a sum of positive squares in 20 ways, for example, as 19815629824 + 9984184370176 = 140768^2 + 3159776^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10004000000009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163999999970 + ... + 164000000030.

Almost surely, 2^{10004000000000} is an apocalyptic number.

10004000000000 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 10004000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016819956140).

10004000000000 is an abundant number, since it is smaller than the sum of its proper divisors (16029639912280).

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

10004000000000 is an frugal number, since it uses more digits than its factorization.

10004000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 10004000000000 its reverse (40001), we get a palindrome (10004000040001).

It can be divided in two parts, 1000 and 4000000000, that multiplied together give a square (4000000000000 = 2000000²).

The spelling of 10004000000000 in words is "ten trillion, four billion", and thus it is an aban number.