10195440192 has 504 divisors, whose sum is σ = 37374783264. Its totient is φ = 2738147328.

The previous prime is 10195440181. The next prime is 10195440259. The reversal of 10195440192 is 29104459101.

It is a happy number.

10195440192 is a `hidden beast` number, since 10 + 19 + 5 + 440 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 12954423 + ... + 12955209.

It is an arithmetic number, because the mean of its divisors is an integer number (74156316).

Almost surely, 2^10195440192 is an apocalyptic number.

10195440192 is a gapful number since it is divisible by the number (12) 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 10195440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687391632).

10195440192 is an abundant number, since it is smaller than the sum of its proper divisors (27179343072).

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

10195440192 is an equidigital number, since it uses as much as digits as its factorization.

10195440192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 10195440192 its reverse (29104459101), we get a palindrome (39299899293).

The spelling of 10195440192 in words is "ten billion, one hundred ninety-five million, four hundred forty thousand, one hundred ninety-two".