10141145520 has 240 divisors, whose sum is σ = 34821208800. Its totient is φ = 2439557120.

The previous prime is 10141145513. The next prime is 10141145543. The reversal of 10141145520 is 2554114101.

10141145520 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 (24).

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, 3977206 + ... + 3979754.

It is an arithmetic number, because the mean of its divisors is an integer number (145088370).

Almost surely, 2^10141145520 is an apocalyptic number.

10141145520 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 10141145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410604400).

10141145520 is an abundant number, since it is smaller than the sum of its proper divisors (24680063280).

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

10141145520 is a wasteful number, since it uses less digits than its factorization.

10141145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 10141145520 its reverse (2554114101), we get a palindrome (12695259621).

The spelling of 10141145520 in words is "ten billion, one hundred forty-one million, one hundred forty-five thousand, five hundred twenty".