10005413040 has 240 divisors, whose sum is σ = 38573870400. Its totient is φ = 2276702208.

The previous prime is 10005413021. The next prime is 10005413123. The reversal of 10005413040 is 4031450001.

It is a happy number.

10005413040 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1149826 + ... + 1158494.

It is an arithmetic number, because the mean of its divisors is an integer number (160724460).

Almost surely, 2^10005413040 is an apocalyptic number.

10005413040 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 10005413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19286935200).

10005413040 is an abundant number, since it is smaller than the sum of its proper divisors (28568457360).

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

10005413040 is a wasteful number, since it uses less digits than its factorization.

10005413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8915 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10005413040 its reverse (4031450001), we get a palindrome (14036863041).

The spelling of 10005413040 in words is "ten billion, five million, four hundred thirteen thousand, forty".