10194085440 has 1008 divisors, whose sum is σ = 46213776000. Its totient is φ = 2107607040.

The previous prime is 10194085381. The next prime is 10194085441. The reversal of 10194085440 is 4458049101.

10194085440 is a `hidden beast` number, since 101 + 9 + 4 + 0 + 8 + 544 + 0 = 666.

10194085440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 10194085395 and 10194085404.

It is not an unprimeable number, because it can be changed into a prime (10194085441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226461 + ... + 51226659.

It is an arithmetic number, because the mean of its divisors is an integer number (45847000).

Almost surely, 2^10194085440 is an apocalyptic number.

10194085440 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 10194085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106888000).

10194085440 is an abundant number, since it is smaller than the sum of its proper divisors (36019690560).

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

10194085440 is a wasteful number, since it uses less digits than its factorization.

10194085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10194085440 in words is "ten billion, one hundred ninety-four million, eighty-five thousand, four hundred forty".