10141541280 has 576 divisors, whose sum is σ = 39844224000. Its totient is φ = 2405265408.

The previous prime is 10141541273. The next prime is 10141541287. The reversal of 10141541280 is 8214514101.

It is a happy number.

10141541280 is a `hidden beast` number, since 1 + 0 + 1 + 41 + 541 + 2 + 80 = 666.

10141541280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10141541273) and next prime (10141541287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10141541287) 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 95 ways as a sum of consecutive naturals, for example, 21172081 + ... + 21172559.

It is an arithmetic number, because the mean of its divisors is an integer number (69174000).

Almost surely, 2^10141541280 is an apocalyptic number.

10141541280 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 10141541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922112000).

10141541280 is an abundant number, since it is smaller than the sum of its proper divisors (29702682720).

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

10141541280 is a wasteful number, since it uses less digits than its factorization.

10141541280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10141541280 in words is "ten billion, one hundred forty-one million, five hundred forty-one thousand, two hundred eighty".