10308080784400 has 1215 divisors, whose sum is σ = 32759509248567. Its totient is φ = 3106852761600.

The previous prime is 10308080784371. The next prime is 10308080784433. The reversal of 10308080784400 is 448708080301.

The square root of 10308080784400 is 3210620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 241116353296 + 10066964431104 = 491036^2 + 3172848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 145184236365 + ... + 145184236435.

Almost surely, 2^{10308080784400} is an apocalyptic number.

10308080784400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10308080784400 is the 3210620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10308080784400

10308080784400 is an abundant number, since it is smaller than the sum of its proper divisors (22451428464167).

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

10308080784400 is a wasteful number, since it uses less digits than its factorization.

10308080784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 10308080784400 in words is "ten trillion, three hundred eight billion, eighty million, seven hundred eighty-four thousand, four hundred".