10004115300400 has 480 divisors, whose sum is σ = 27440125719552. Its totient is φ = 3477031219200.

The previous prime is 10004115300383. The next prime is 10004115300401. The reversal of 10004115300400 is 400351140001.

It is not an unprimeable number, because it can be changed into a prime (10004115300401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8601990219 + ... + 8601991381.

Almost surely, 2^{10004115300400} is an apocalyptic number.

10004115300400 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 10004115300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720062859776).

10004115300400 is an abundant number, since it is smaller than the sum of its proper divisors (17436010419152).

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

10004115300400 is a wasteful number, since it uses less digits than its factorization.

10004115300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10004115300400 its reverse (400351140001), we get a palindrome (10404466440401).

The spelling of 10004115300400 in words is "ten trillion, four billion, one hundred fifteen million, three hundred thousand, four hundred".