10235005440 has 320 divisors, whose sum is σ = 36091440000. Its totient is φ = 2453667840.

The previous prime is 10235005433. The next prime is 10235005441. The reversal of 10235005440 is 4450053201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10235005440.

It is not an unprimeable number, because it can be changed into a prime (10235005441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8193936 + ... + 8195184.

It is an arithmetic number, because the mean of its divisors is an integer number (112785750).

Almost surely, 2^10235005440 is an apocalyptic number.

10235005440 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 10235005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045720000).

10235005440 is an abundant number, since it is smaller than the sum of its proper divisors (25856434560).

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

10235005440 is a wasteful number, since it uses less digits than its factorization.

10235005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 10235005440 its reverse (4450053201), we get a palindrome (14685058641).

The spelling of 10235005440 in words is "ten billion, two hundred thirty-five million, five thousand, four hundred forty".