10304022400000 has 528 divisors, whose sum is σ = 29910129004224. Its totient is φ = 3474432000000.

The previous prime is 10304022399973. The next prime is 10304022400031. The reversal of 10304022400000 is 422040301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366396230 + ... + 1366403770.

Almost surely, 2^{10304022400000} is an apocalyptic number.

10304022400000 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 10304022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955064502112).

10304022400000 is an abundant number, since it is smaller than the sum of its proper divisors (19606106604224).

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

10304022400000 is an frugal number, since it uses more digits than its factorization.

10304022400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10304022400000 its reverse (422040301), we get a palindrome (10304444440301).

The spelling of 10304022400000 in words is "ten trillion, three hundred four billion, twenty-two million, four hundred thousand".