10304111334400 has 264 divisors, whose sum is σ = 27519290074584. Its totient is φ = 3802821427200.

The previous prime is 10304111334379. The next prime is 10304111334409. The reversal of 10304111334400 is 443311140301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3364553769984 + 6939557564416 = 1834272^2 + 2634304^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304111334409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 872262894 + ... + 872274706.

It is an arithmetic number, because the mean of its divisors is an integer number (104239735131).

Almost surely, 2^{10304111334400} is an apocalyptic number.

10304111334400 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 10304111334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759645037292).

10304111334400 is an abundant number, since it is smaller than the sum of its proper divisors (17215178740184).

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

10304111334400 is a wasteful number, since it uses less digits than its factorization.

10304111334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14477 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10304111334400 its reverse (443311140301), we get a palindrome (10747422474701).

It can be divided in two parts, 10304 and 111334400, that added together give a square (111344704 = 10552²).

The spelling of 10304111334400 in words is "ten trillion, three hundred four billion, one hundred eleven million, three hundred thirty-four thousand, four hundred".