10195430400 has 792 divisors, whose sum is σ = 40983068880. Its totient is φ = 2406481920.

The previous prime is 10195430393. The next prime is 10195430411. The reversal of 10195430400 is 403459101.

10195430400 is a `hidden beast` number, since 1 + 0 + 195 + 430 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74419132 + ... + 74419268.

Almost surely, 2^10195430400 is an apocalyptic number.

10195430400 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 10195430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491534440).

10195430400 is an abundant number, since it is smaller than the sum of its proper divisors (30787638480).

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

10195430400 is a wasteful number, since it uses less digits than its factorization.

10195430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10195430400 its reverse (403459101), we get a palindrome (10598889501).

The spelling of 10195430400 in words is "ten billion, one hundred ninety-five million, four hundred thirty thousand, four hundred".