10409357952 has 192 divisors, whose sum is σ = 35501793600. Its totient is φ = 2974040064.

The previous prime is 10409357923. The next prime is 10409357953. The reversal of 10409357952 is 25975390401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10409357898 and 10409357907.

It is not an unprimeable number, because it can be changed into a prime (10409357953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193824 + ... + 241632.

It is an arithmetic number, because the mean of its divisors is an integer number (184905175).

Almost surely, 2^10409357952 is an apocalyptic number.

10409357952 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 10409357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750896800).

10409357952 is an abundant number, since it is smaller than the sum of its proper divisors (25092435648).

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

10409357952 is an frugal number, since it uses more digits than its factorization.

10409357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47845 (or 47821 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 10409357952 in words is "ten billion, four hundred nine million, three hundred fifty-seven thousand, nine hundred fifty-two".