10304034002400 has 288 divisors, whose sum is σ = 35844458307840. Its totient is φ = 2561940152320.

The previous prime is 10304034002389. The next prime is 10304034002401. The reversal of 10304034002400 is 420043040301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304034002401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3185461 + ... + 5545739.

It is an arithmetic number, because the mean of its divisors is an integer number (124459924680).

Almost surely, 2^{10304034002400} is an apocalyptic number.

10304034002400 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 10304034002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922229153920).

10304034002400 is an abundant number, since it is smaller than the sum of its proper divisors (25540424305440).

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

10304034002400 is a wasteful number, since it uses less digits than its factorization.

10304034002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360426 (or 2360413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10304034002400 its reverse (420043040301), we get a palindrome (10724077042701).

The spelling of 10304034002400 in words is "ten trillion, three hundred four billion, thirty-four million, two thousand, four hundred".