10448396830404 has 243 divisors, whose sum is σ = 29640062552373. Its totient is φ = 3101860839168.

The previous prime is 10448396830337. The next prime is 10448396830423. The reversal of 10448396830404 is 40403869384401.

The square root of 10448396830404 is 3232398.

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

10448396830404 is a `hidden beast` number, since 1 + 0 + 4 + 483 + 96 + 8 + 30 + 40 + 4 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10336675104900 + 111721725504 = 3215070^2 + 334248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7311683562 + ... + 7311684990.

Almost surely, 2^{10448396830404} is an apocalyptic number.

10448396830404 is the 3232398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10448396830404

10448396830404 is an abundant number, since it is smaller than the sum of its proper divisors (19191665721969).

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

10448396830404 is a wasteful number, since it uses less digits than its factorization.

10448396830404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 10448396830404 in words is "ten trillion, four hundred forty-eight billion, three hundred ninety-six million, eight hundred thirty thousand, four hundred four".